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Finding the Fourth Proportional to 456,467.70, 684,701.55 and 456,467.70

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Solution

The fourth proportional to 456,467.70, 684,701.55 and 456,467.70 is: 684,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,467.70 : 684,701.55 = 456,467.70 : x
  2. Step 2: Convert to fraction form
    456,467.70/684,701.55 = 456,467.70/x
  3. Step 3: Cross multiply
    456,467.70x = 684,701.55 × 456,467.70
  4. Step 4: Simplify right side
    456,467.70x = 312,544,141,714.94
  5. Step 5: Solve for x
    x = 312,544,141,714.94/456,467.70
  6. Step 6: Final answer
    x = 684,701.55

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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.