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Finding the Fourth Proportional to 584,047.28, 806,157.62 and 342,382.16

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Solution

The fourth proportional to 584,047.28, 806,157.62 and 342,382.16 is: 472,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,047.28 : 806,157.62 = 342,382.16 : x
  2. Step 2: Convert to fraction form
    584,047.28/806,157.62 = 342,382.16/x
  3. Step 3: Cross multiply
    584,047.28x = 806,157.62 × 342,382.16
  4. Step 4: Simplify right side
    584,047.28x = 276,013,981,493.36
  5. Step 5: Solve for x
    x = 276,013,981,493.36/584,047.28
  6. Step 6: Final answer
    x = 472,588.42

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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.