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Finding the Fourth Proportional to 462,358, 693,537 and 129,934

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Solution

The fourth proportional to 462,358, 693,537 and 129,934 is: 194,901

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,358 : 693,537 = 129,934 : x
  2. Step 2: Convert to fraction form
    462,358/693,537 = 129,934/x
  3. Step 3: Cross multiply
    462,358x = 693,537 × 129,934
  4. Step 4: Simplify right side
    462,358x = 90,114,036,558
  5. Step 5: Solve for x
    x = 90,114,036,558/462,358
  6. Step 6: Final answer
    x = 194,901

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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.