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Finding the Fourth Proportional to 473,581.71, 710,652.90 and 174,272.54

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Solution

The fourth proportional to 473,581.71, 710,652.90 and 174,272.54 is: 261,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,581.71 : 710,652.90 = 174,272.54 : x
  2. Step 2: Convert to fraction form
    473,581.71/710,652.90 = 174,272.54/x
  3. Step 3: Cross multiply
    473,581.71x = 710,652.90 × 174,272.54
  4. Step 4: Simplify right side
    473,581.71x = 123,847,282,388.10
  5. Step 5: Solve for x
    x = 123,847,282,388.10/473,581.71
  6. Step 6: Final answer
    x = 261,511.96

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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.