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Finding the Fourth Proportional to 457,470.64, 631,309.64 and 278,622.64

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Solution

The fourth proportional to 457,470.64, 631,309.64 and 278,622.64 is: 384,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,470.64 : 631,309.64 = 278,622.64 : x
  2. Step 2: Convert to fraction form
    457,470.64/631,309.64 = 278,622.64/x
  3. Step 3: Cross multiply
    457,470.64x = 631,309.64 × 278,622.64
  4. Step 4: Simplify right side
    457,470.64x = 175,897,158,554.25
  5. Step 5: Solve for x
    x = 175,897,158,554.25/457,470.64
  6. Step 6: Final answer
    x = 384,499.34

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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.