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Finding the Fourth Proportional to 758,935.62, 1,047,289.92 and 419,382

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Solution

The fourth proportional to 758,935.62, 1,047,289.92 and 419,382 is: 578,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,935.62 : 1,047,289.92 = 419,382 : x
  2. Step 2: Convert to fraction form
    758,935.62/1,047,289.92 = 419,382/x
  3. Step 3: Cross multiply
    758,935.62x = 1,047,289.92 × 419,382
  4. Step 4: Simplify right side
    758,935.62x = 439,214,541,229.44
  5. Step 5: Solve for x
    x = 439,214,541,229.44/758,935.62
  6. Step 6: Final answer
    x = 578,724.37

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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.