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Finding the Fourth Proportional to 515,447.92, 711,353.64 and 289,108

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Solution

The fourth proportional to 515,447.92, 711,353.64 and 289,108 is: 398,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,447.92 : 711,353.64 = 289,108 : x
  2. Step 2: Convert to fraction form
    515,447.92/711,353.64 = 289,108/x
  3. Step 3: Cross multiply
    515,447.92x = 711,353.64 × 289,108
  4. Step 4: Simplify right side
    515,447.92x = 205,658,028,153.12
  5. Step 5: Solve for x
    x = 205,658,028,153.12/515,447.92
  6. Step 6: Final answer
    x = 398,988.96

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1.5x scale

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.