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Finding the Fourth Proportional to 462,079.86, 693,144.45 and 146,561.10

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Solution

The fourth proportional to 462,079.86, 693,144.45 and 146,561.10 is: 219,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,079.86 : 693,144.45 = 146,561.10 : x
  2. Step 2: Convert to fraction form
    462,079.86/693,144.45 = 146,561.10/x
  3. Step 3: Cross multiply
    462,079.86x = 693,144.45 × 146,561.10
  4. Step 4: Simplify right side
    462,079.86x = 101,588,013,050.90
  5. Step 5: Solve for x
    x = 101,588,013,050.90/462,079.86
  6. Step 6: Final answer
    x = 219,849.47

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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.