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Finding the Fourth Proportional to 520,098.65, 729,712.75 and 520,098.65

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Solution

The fourth proportional to 520,098.65, 729,712.75 and 520,098.65 is: 729,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.65 : 729,712.75 = 520,098.65 : x
  2. Step 2: Convert to fraction form
    520,098.65/729,712.75 = 520,098.65/x
  3. Step 3: Cross multiply
    520,098.65x = 729,712.75 × 520,098.65
  4. Step 4: Simplify right side
    520,098.65x = 379,522,616,162.79
  5. Step 5: Solve for x
    x = 379,522,616,162.79/520,098.65
  6. Step 6: Final answer
    x = 729,712.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.