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Finding the Fourth Proportional to 520,016.30, 780,024.45 and 240,080.30

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Solution

The fourth proportional to 520,016.30, 780,024.45 and 240,080.30 is: 360,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,016.30 : 780,024.45 = 240,080.30 : x
  2. Step 2: Convert to fraction form
    520,016.30/780,024.45 = 240,080.30/x
  3. Step 3: Cross multiply
    520,016.30x = 780,024.45 × 240,080.30
  4. Step 4: Simplify right side
    520,016.30x = 187,268,503,963.34
  5. Step 5: Solve for x
    x = 187,268,503,963.34/520,016.30
  6. Step 6: Final answer
    x = 360,120.45

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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.