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Finding the Fourth Proportional to 461,498, 692,320.16 and 195,260.52

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Solution

The fourth proportional to 461,498, 692,320.16 and 195,260.52 is: 292,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,498 : 692,320.16 = 195,260.52 : x
  2. Step 2: Convert to fraction form
    461,498/692,320.16 = 195,260.52/x
  3. Step 3: Cross multiply
    461,498x = 692,320.16 × 195,260.52
  4. Step 4: Simplify right side
    461,498x = 135,182,794,448.08
  5. Step 5: Solve for x
    x = 135,182,794,448.08/461,498
  6. Step 6: Final answer
    x = 292,921.73

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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.