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Finding the Fourth Proportional to 515,381.16, 711,224.64 and 289,031.52

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Solution

The fourth proportional to 515,381.16, 711,224.64 and 289,031.52 is: 398,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,381.16 : 711,224.64 = 289,031.52 : x
  2. Step 2: Convert to fraction form
    515,381.16/711,224.64 = 289,031.52/x
  3. Step 3: Cross multiply
    515,381.16x = 711,224.64 × 289,031.52
  4. Step 4: Simplify right side
    515,381.16x = 205,566,338,760.65
  5. Step 5: Solve for x
    x = 205,566,338,760.65/515,381.16
  6. Step 6: Final answer
    x = 398,862.73

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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.