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Finding the Fourth Proportional to 419,201.76, 578,644.22 and 249,432.24

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Solution

The fourth proportional to 419,201.76, 578,644.22 and 249,432.24 is: 344,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,201.76 : 578,644.22 = 249,432.24 : x
  2. Step 2: Convert to fraction form
    419,201.76/578,644.22 = 249,432.24/x
  3. Step 3: Cross multiply
    419,201.76x = 578,644.22 × 249,432.24
  4. Step 4: Simplify right side
    419,201.76x = 144,332,523,957.65
  5. Step 5: Solve for x
    x = 144,332,523,957.65/419,201.76
  6. Step 6: Final answer
    x = 344,303.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.