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Finding the Fourth Proportional to 414,292.59, 571,638.06 and 242,177.31

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Solution

The fourth proportional to 414,292.59, 571,638.06 and 242,177.31 is: 334,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,292.59 : 571,638.06 = 242,177.31 : x
  2. Step 2: Convert to fraction form
    414,292.59/571,638.06 = 242,177.31/x
  3. Step 3: Cross multiply
    414,292.59x = 571,638.06 × 242,177.31
  4. Step 4: Simplify right side
    414,292.59x = 138,437,767,664.42
  5. Step 5: Solve for x
    x = 138,437,767,664.42/414,292.59
  6. Step 6: Final answer
    x = 334,154.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.