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Finding the Fourth Proportional to 277,663.20, 416,397.60 and 144,499.20

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Solution

The fourth proportional to 277,663.20, 416,397.60 and 144,499.20 is: 216,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,663.20 : 416,397.60 = 144,499.20 : x
  2. Step 2: Convert to fraction form
    277,663.20/416,397.60 = 144,499.20/x
  3. Step 3: Cross multiply
    277,663.20x = 416,397.60 × 144,499.20
  4. Step 4: Simplify right side
    277,663.20x = 60,169,120,081.92
  5. Step 5: Solve for x
    x = 60,169,120,081.92/277,663.20
  6. Step 6: Final answer
    x = 216,698.22

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