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Finding the Fourth Proportional to 512,972.08, 707,534.25 and 360,044.38

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Solution

The fourth proportional to 512,972.08, 707,534.25 and 360,044.38 is: 496,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,972.08 : 707,534.25 = 360,044.38 : x
  2. Step 2: Convert to fraction form
    512,972.08/707,534.25 = 360,044.38/x
  3. Step 3: Cross multiply
    512,972.08x = 707,534.25 × 360,044.38
  4. Step 4: Simplify right side
    512,972.08x = 254,743,730,370.02
  5. Step 5: Solve for x
    x = 254,743,730,370.02/512,972.08
  6. Step 6: Final answer
    x = 496,603.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.