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Finding the Fourth Proportional to 506,491.40, 759,737.10 and 132,514.40

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Solution

The fourth proportional to 506,491.40, 759,737.10 and 132,514.40 is: 198,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,491.40 : 759,737.10 = 132,514.40 : x
  2. Step 2: Convert to fraction form
    506,491.40/759,737.10 = 132,514.40/x
  3. Step 3: Cross multiply
    506,491.40x = 759,737.10 × 132,514.40
  4. Step 4: Simplify right side
    506,491.40x = 100,676,105,964.24
  5. Step 5: Solve for x
    x = 100,676,105,964.24/506,491.40
  6. Step 6: Final answer
    x = 198,771.60

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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.