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Finding the Fourth Proportional to 650,725.08, 976,717.52 and 314,002.32

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Solution

The fourth proportional to 650,725.08, 976,717.52 and 314,002.32 is: 471,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,725.08 : 976,717.52 = 314,002.32 : x
  2. Step 2: Convert to fraction form
    650,725.08/976,717.52 = 314,002.32/x
  3. Step 3: Cross multiply
    650,725.08x = 976,717.52 × 314,002.32
  4. Step 4: Simplify right side
    650,725.08x = 306,691,567,264.65
  5. Step 5: Solve for x
    x = 306,691,567,264.65/650,725.08
  6. Step 6: Final answer
    x = 471,307.43

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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.