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Finding the Fourth Proportional to 486,470.66, 726,512.11 and 414,627.80

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Solution

The fourth proportional to 486,470.66, 726,512.11 and 414,627.80 is: 619,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,470.66 : 726,512.11 = 414,627.80 : x
  2. Step 2: Convert to fraction form
    486,470.66/726,512.11 = 414,627.80/x
  3. Step 3: Cross multiply
    486,470.66x = 726,512.11 × 414,627.80
  4. Step 4: Simplify right side
    486,470.66x = 301,232,117,842.66
  5. Step 5: Solve for x
    x = 301,232,117,842.66/486,470.66
  6. Step 6: Final answer
    x = 619,219.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.