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Finding the Fourth Proportional to 521,685.84, 782,359.92 and 166,615.92

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Solution

The fourth proportional to 521,685.84, 782,359.92 and 166,615.92 is: 249,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,685.84 : 782,359.92 = 166,615.92 : x
  2. Step 2: Convert to fraction form
    521,685.84/782,359.92 = 166,615.92/x
  3. Step 3: Cross multiply
    521,685.84x = 782,359.92 × 166,615.92
  4. Step 4: Simplify right side
    521,685.84x = 130,353,617,841.93
  5. Step 5: Solve for x
    x = 130,353,617,841.93/521,685.84
  6. Step 6: Final answer
    x = 249,869.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.