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Finding the Fourth Proportional to 354,470.40, 532,051.20 and 177,177.60

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Solution

The fourth proportional to 354,470.40, 532,051.20 and 177,177.60 is: 265,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,470.40 : 532,051.20 = 177,177.60 : x
  2. Step 2: Convert to fraction form
    354,470.40/532,051.20 = 177,177.60/x
  3. Step 3: Cross multiply
    354,470.40x = 532,051.20 × 177,177.60
  4. Step 4: Simplify right side
    354,470.40x = 94,267,554,693.12
  5. Step 5: Solve for x
    x = 94,267,554,693.12/354,470.40
  6. Step 6: Final answer
    x = 265,939.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.