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Finding the Fourth Proportional to 515,957.24, 711,981.96 and 289,559

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Solution

The fourth proportional to 515,957.24, 711,981.96 and 289,559 is: 399,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,957.24 : 711,981.96 = 289,559 : x
  2. Step 2: Convert to fraction form
    515,957.24/711,981.96 = 289,559/x
  3. Step 3: Cross multiply
    515,957.24x = 711,981.96 × 289,559
  4. Step 4: Simplify right side
    515,957.24x = 206,160,784,355.64
  5. Step 5: Solve for x
    x = 206,160,784,355.64/515,957.24
  6. Step 6: Final answer
    x = 399,569.52

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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.