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Finding the Fourth Proportional to 502,753.92, 694,024.04 and 298,870.84

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Solution

The fourth proportional to 502,753.92, 694,024.04 and 298,870.84 is: 412,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,753.92 : 694,024.04 = 298,870.84 : x
  2. Step 2: Convert to fraction form
    502,753.92/694,024.04 = 298,870.84/x
  3. Step 3: Cross multiply
    502,753.92x = 694,024.04 × 298,870.84
  4. Step 4: Simplify right side
    502,753.92x = 207,423,547,814.99
  5. Step 5: Solve for x
    x = 207,423,547,814.99/502,753.92
  6. Step 6: Final answer
    x = 412,574.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.