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Finding the Fourth Proportional to 614,141.19, 847,493.28 and 342,195.03

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Solution

The fourth proportional to 614,141.19, 847,493.28 and 342,195.03 is: 472,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,141.19 : 847,493.28 = 342,195.03 : x
  2. Step 2: Convert to fraction form
    614,141.19/847,493.28 = 342,195.03/x
  3. Step 3: Cross multiply
    614,141.19x = 847,493.28 × 342,195.03
  4. Step 4: Simplify right side
    614,141.19x = 290,007,988,374.40
  5. Step 5: Solve for x
    x = 290,007,988,374.40/614,141.19
  6. Step 6: Final answer
    x = 472,217.13

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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.