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Finding the Fourth Proportional to 407,592.81, 611,218.17 and 154,733.90

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Solution

The fourth proportional to 407,592.81, 611,218.17 and 154,733.90 is: 232,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,592.81 : 611,218.17 = 154,733.90 : x
  2. Step 2: Convert to fraction form
    407,592.81/611,218.17 = 154,733.90/x
  3. Step 3: Cross multiply
    407,592.81x = 611,218.17 × 154,733.90
  4. Step 4: Simplify right side
    407,592.81x = 94,576,168,138.87
  5. Step 5: Solve for x
    x = 94,576,168,138.87/407,592.81
  6. Step 6: Final answer
    x = 232,035.91

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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.