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Finding the Fourth Proportional to 407,442.28, 611,153.82 and 240,024.36

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Solution

The fourth proportional to 407,442.28, 611,153.82 and 240,024.36 is: 360,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,442.28 : 611,153.82 = 240,024.36 : x
  2. Step 2: Convert to fraction form
    407,442.28/611,153.82 = 240,024.36/x
  3. Step 3: Cross multiply
    407,442.28x = 611,153.82 × 240,024.36
  4. Step 4: Simplify right side
    407,442.28x = 146,691,804,507.06
  5. Step 5: Solve for x
    x = 146,691,804,507.06/407,442.28
  6. Step 6: Final answer
    x = 360,030.88

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1.5x scale

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.