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Finding the Fourth Proportional to 305,024.16, 456,691.14 and 229,916.64

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Solution

The fourth proportional to 305,024.16, 456,691.14 and 229,916.64 is: 344,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,024.16 : 456,691.14 = 229,916.64 : x
  2. Step 2: Convert to fraction form
    305,024.16/456,691.14 = 229,916.64/x
  3. Step 3: Cross multiply
    305,024.16x = 456,691.14 × 229,916.64
  4. Step 4: Simplify right side
    305,024.16x = 105,000,892,426.57
  5. Step 5: Solve for x
    x = 105,000,892,426.57/305,024.16
  6. Step 6: Final answer
    x = 344,237.95

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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.