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Finding the Fourth Proportional to 456,497.70, 684,746.55 and 432,003.30

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Solution

The fourth proportional to 456,497.70, 684,746.55 and 432,003.30 is: 648,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,497.70 : 684,746.55 = 432,003.30 : x
  2. Step 2: Convert to fraction form
    456,497.70/684,746.55 = 432,003.30/x
  3. Step 3: Cross multiply
    456,497.70x = 684,746.55 × 432,003.30
  4. Step 4: Simplify right side
    456,497.70x = 295,812,769,263.62
  5. Step 5: Solve for x
    x = 295,812,769,263.62/456,497.70
  6. Step 6: Final answer
    x = 648,004.95

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.