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Finding the Fourth Proportional to 334,354.65, 501,415.32 and 147,264.09

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Solution

The fourth proportional to 334,354.65, 501,415.32 and 147,264.09 is: 220,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,354.65 : 501,415.32 = 147,264.09 : x
  2. Step 2: Convert to fraction form
    334,354.65/501,415.32 = 147,264.09/x
  3. Step 3: Cross multiply
    334,354.65x = 501,415.32 × 147,264.09
  4. Step 4: Simplify right side
    334,354.65x = 73,840,468,304.78
  5. Step 5: Solve for x
    x = 73,840,468,304.78/334,354.65
  6. Step 6: Final answer
    x = 220,844.75

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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.