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Finding the Fourth Proportional to 416,632.90, 574,950.54 and 225,641.92

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Solution

The fourth proportional to 416,632.90, 574,950.54 and 225,641.92 is: 311,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,632.90 : 574,950.54 = 225,641.92 : x
  2. Step 2: Convert to fraction form
    416,632.90/574,950.54 = 225,641.92/x
  3. Step 3: Cross multiply
    416,632.90x = 574,950.54 × 225,641.92
  4. Step 4: Simplify right side
    416,632.90x = 129,732,943,750.64
  5. Step 5: Solve for x
    x = 129,732,943,750.64/416,632.90
  6. Step 6: Final answer
    x = 311,384.30

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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.