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Finding the Fourth Proportional to 409,269.89, 613,876.23 and 153,053.69

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Solution

The fourth proportional to 409,269.89, 613,876.23 and 153,053.69 is: 229,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,269.89 : 613,876.23 = 153,053.69 : x
  2. Step 2: Convert to fraction form
    409,269.89/613,876.23 = 153,053.69/x
  3. Step 3: Cross multiply
    409,269.89x = 613,876.23 × 153,053.69
  4. Step 4: Simplify right side
    409,269.89x = 93,956,023,739.48
  5. Step 5: Solve for x
    x = 93,956,023,739.48/409,269.89
  6. Step 6: Final answer
    x = 229,569.84

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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.