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Finding the Fourth Proportional to 569,949.16, 850,714.49 and 502,711.24

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Solution

The fourth proportional to 569,949.16, 850,714.49 and 502,711.24 is: 750,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,949.16 : 850,714.49 = 502,711.24 : x
  2. Step 2: Convert to fraction form
    569,949.16/850,714.49 = 502,711.24/x
  3. Step 3: Cross multiply
    569,949.16x = 850,714.49 × 502,711.24
  4. Step 4: Simplify right side
    569,949.16x = 427,663,736,153.87
  5. Step 5: Solve for x
    x = 427,663,736,153.87/569,949.16
  6. Step 6: Final answer
    x = 750,354.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.