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Finding the Fourth Proportional to 515,444.92, 711,349.50 and 289,105

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Solution

The fourth proportional to 515,444.92, 711,349.50 and 289,105 is: 398,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,444.92 : 711,349.50 = 289,105 : x
  2. Step 2: Convert to fraction form
    515,444.92/711,349.50 = 289,105/x
  3. Step 3: Cross multiply
    515,444.92x = 711,349.50 × 289,105
  4. Step 4: Simplify right side
    515,444.92x = 205,654,697,197.50
  5. Step 5: Solve for x
    x = 205,654,697,197.50/515,444.92
  6. Step 6: Final answer
    x = 398,984.82

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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.