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Finding the Fourth Proportional to 334,426.40, 501,803.62 and 156,947.84

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Solution

The fourth proportional to 334,426.40, 501,803.62 and 156,947.84 is: 235,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,426.40 : 501,803.62 = 156,947.84 : x
  2. Step 2: Convert to fraction form
    334,426.40/501,803.62 = 156,947.84/x
  3. Step 3: Cross multiply
    334,426.40x = 501,803.62 × 156,947.84
  4. Step 4: Simplify right side
    334,426.40x = 78,756,991,361.79
  5. Step 5: Solve for x
    x = 78,756,991,361.79/334,426.40
  6. Step 6: Final answer
    x = 235,498.73

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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.