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Finding the Fourth Proportional to 614,378.48, 847,846.17 and 342,463.59

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Solution

The fourth proportional to 614,378.48, 847,846.17 and 342,463.59 is: 472,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,378.48 : 847,846.17 = 342,463.59 : x
  2. Step 2: Convert to fraction form
    614,378.48/847,846.17 = 342,463.59/x
  3. Step 3: Cross multiply
    614,378.48x = 847,846.17 × 342,463.59
  4. Step 4: Simplify right side
    614,378.48x = 290,356,443,145.95
  5. Step 5: Solve for x
    x = 290,356,443,145.95/614,378.48
  6. Step 6: Final answer
    x = 472,601.91

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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.