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Finding the Fourth Proportional to 334,269.65, 501,439.62 and 97,613.00

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Solution

The fourth proportional to 334,269.65, 501,439.62 and 97,613.00 is: 146,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,269.65 : 501,439.62 = 97,613.00 : x
  2. Step 2: Convert to fraction form
    334,269.65/501,439.62 = 97,613.00/x
  3. Step 3: Cross multiply
    334,269.65x = 501,439.62 × 97,613.00
  4. Step 4: Simplify right side
    334,269.65x = 48,947,023,119.86
  5. Step 5: Solve for x
    x = 48,947,023,119.86/334,269.65
  6. Step 6: Final answer
    x = 146,429.76

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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.