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Finding the Fourth Proportional to 424,463.52, 586,599.72 and 347,861.82

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Solution

The fourth proportional to 424,463.52, 586,599.72 and 347,861.82 is: 480,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,463.52 : 586,599.72 = 347,861.82 : x
  2. Step 2: Convert to fraction form
    424,463.52/586,599.72 = 347,861.82/x
  3. Step 3: Cross multiply
    424,463.52x = 586,599.72 × 347,861.82
  4. Step 4: Simplify right side
    424,463.52x = 204,055,646,210.69
  5. Step 5: Solve for x
    x = 204,055,646,210.69/424,463.52
  6. Step 6: Final answer
    x = 480,737.77

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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.