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Finding the Fourth Proportional to 456,002.70, 684,004.05 and 123,578.70

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Solution

The fourth proportional to 456,002.70, 684,004.05 and 123,578.70 is: 185,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,002.70 : 684,004.05 = 123,578.70 : x
  2. Step 2: Convert to fraction form
    456,002.70/684,004.05 = 123,578.70/x
  3. Step 3: Cross multiply
    456,002.70x = 684,004.05 × 123,578.70
  4. Step 4: Simplify right side
    456,002.70x = 84,528,331,293.74
  5. Step 5: Solve for x
    x = 84,528,331,293.74/456,002.70
  6. Step 6: Final answer
    x = 185,368.05

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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.