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Finding the Fourth Proportional to 569,714.80, 853,535.40 and 463,961.20

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Solution

The fourth proportional to 569,714.80, 853,535.40 and 463,961.20 is: 695,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,714.80 : 853,535.40 = 463,961.20 : x
  2. Step 2: Convert to fraction form
    569,714.80/853,535.40 = 463,961.20/x
  3. Step 3: Cross multiply
    569,714.80x = 853,535.40 × 463,961.20
  4. Step 4: Simplify right side
    569,714.80x = 396,007,308,426.48
  5. Step 5: Solve for x
    x = 396,007,308,426.48/569,714.80
  6. Step 6: Final answer
    x = 695,097.46

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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.