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Finding the Fourth Proportional to 521,119.20, 781,678.80 and 492,088.80

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Solution

The fourth proportional to 521,119.20, 781,678.80 and 492,088.80 is: 738,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,119.20 : 781,678.80 = 492,088.80 : x
  2. Step 2: Convert to fraction form
    521,119.20/781,678.80 = 492,088.80/x
  3. Step 3: Cross multiply
    521,119.20x = 781,678.80 × 492,088.80
  4. Step 4: Simplify right side
    521,119.20x = 384,655,382,677.44
  5. Step 5: Solve for x
    x = 384,655,382,677.44/521,119.20
  6. Step 6: Final answer
    x = 738,133.20

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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.