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Finding the Fourth Proportional to 512,006.40, 766,627.20 and 512,006.40

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Solution

The fourth proportional to 512,006.40, 766,627.20 and 512,006.40 is: 766,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,006.40 : 766,627.20 = 512,006.40 : x
  2. Step 2: Convert to fraction form
    512,006.40/766,627.20 = 512,006.40/x
  3. Step 3: Cross multiply
    512,006.40x = 766,627.20 × 512,006.40
  4. Step 4: Simplify right side
    512,006.40x = 392,518,032,814.08
  5. Step 5: Solve for x
    x = 392,518,032,814.08/512,006.40
  6. Step 6: Final answer
    x = 766,627.20

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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.