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Finding the Fourth Proportional to 413,734.01, 620,725.55 and 147,459.87

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Solution

The fourth proportional to 413,734.01, 620,725.55 and 147,459.87 is: 221,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,734.01 : 620,725.55 = 147,459.87 : x
  2. Step 2: Convert to fraction form
    413,734.01/620,725.55 = 147,459.87/x
  3. Step 3: Cross multiply
    413,734.01x = 620,725.55 × 147,459.87
  4. Step 4: Simplify right side
    413,734.01x = 91,532,108,171.38
  5. Step 5: Solve for x
    x = 91,532,108,171.38/413,734.01
  6. Step 6: Final answer
    x = 221,234.19

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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.