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Finding the Fourth Proportional to 417,527.67, 576,657.60 and 281,323.11

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Solution

The fourth proportional to 417,527.67, 576,657.60 and 281,323.11 is: 388,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,527.67 : 576,657.60 = 281,323.11 : x
  2. Step 2: Convert to fraction form
    417,527.67/576,657.60 = 281,323.11/x
  3. Step 3: Cross multiply
    417,527.67x = 576,657.60 × 281,323.11
  4. Step 4: Simplify right side
    417,527.67x = 162,227,109,437.14
  5. Step 5: Solve for x
    x = 162,227,109,437.14/417,527.67
  6. Step 6: Final answer
    x = 388,542.18

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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.