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Finding the Fourth Proportional to 467,498, 645,108.20 and 260,753.60

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Solution

The fourth proportional to 467,498, 645,108.20 and 260,753.60 is: 359,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,498 : 645,108.20 = 260,753.60 : x
  2. Step 2: Convert to fraction form
    467,498/645,108.20 = 260,753.60/x
  3. Step 3: Cross multiply
    467,498x = 645,108.20 × 260,753.60
  4. Step 4: Simplify right side
    467,498x = 168,214,285,539.52
  5. Step 5: Solve for x
    x = 168,214,285,539.52/467,498
  6. Step 6: Final answer
    x = 359,818.19

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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.