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Finding the Fourth Proportional to 334,420.65, 501,323.85 and 144,761.58

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Solution

The fourth proportional to 334,420.65, 501,323.85 and 144,761.58 is: 217,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,420.65 : 501,323.85 = 144,761.58 : x
  2. Step 2: Convert to fraction form
    334,420.65/501,323.85 = 144,761.58/x
  3. Step 3: Cross multiply
    334,420.65x = 501,323.85 × 144,761.58
  4. Step 4: Simplify right side
    334,420.65x = 72,572,432,617.68
  5. Step 5: Solve for x
    x = 72,572,432,617.68/334,420.65
  6. Step 6: Final answer
    x = 217,009.42

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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.