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Finding the Fourth Proportional to 477,260.61, 715,738.68 and 157,352.87

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Solution

The fourth proportional to 477,260.61, 715,738.68 and 157,352.87 is: 235,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,260.61 : 715,738.68 = 157,352.87 : x
  2. Step 2: Convert to fraction form
    477,260.61/715,738.68 = 157,352.87/x
  3. Step 3: Cross multiply
    477,260.61x = 715,738.68 × 157,352.87
  4. Step 4: Simplify right side
    477,260.61x = 112,623,531,889.32
  5. Step 5: Solve for x
    x = 112,623,531,889.32/477,260.61
  6. Step 6: Final answer
    x = 235,979.11

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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.