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Finding the Fourth Proportional to 515,401.74, 711,253.71 and 289,045.26

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Solution

The fourth proportional to 515,401.74, 711,253.71 and 289,045.26 is: 398,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,401.74 : 711,253.71 = 289,045.26 : x
  2. Step 2: Convert to fraction form
    515,401.74/711,253.71 = 289,045.26/x
  3. Step 3: Cross multiply
    515,401.74x = 711,253.71 × 289,045.26
  4. Step 4: Simplify right side
    515,401.74x = 205,584,513,532.92
  5. Step 5: Solve for x
    x = 205,584,513,532.92/515,401.74
  6. Step 6: Final answer
    x = 398,882.07

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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.