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Finding the Fourth Proportional to 334,155.68, 501,255.36 and 97,478.56

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Solution

The fourth proportional to 334,155.68, 501,255.36 and 97,478.56 is: 146,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,155.68 : 501,255.36 = 97,478.56 : x
  2. Step 2: Convert to fraction form
    334,155.68/501,255.36 = 97,478.56/x
  3. Step 3: Cross multiply
    334,155.68x = 501,255.36 × 97,478.56
  4. Step 4: Simplify right side
    334,155.68x = 48,861,650,685.08
  5. Step 5: Solve for x
    x = 48,861,650,685.08/334,155.68
  6. Step 6: Final answer
    x = 146,224.21

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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.