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Finding the Fourth Proportional to 397,551.31, 596,333.27 and 98,031.96

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Solution

The fourth proportional to 397,551.31, 596,333.27 and 98,031.96 is: 147,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,551.31 : 596,333.27 = 98,031.96 : x
  2. Step 2: Convert to fraction form
    397,551.31/596,333.27 = 98,031.96/x
  3. Step 3: Cross multiply
    397,551.31x = 596,333.27 × 98,031.96
  4. Step 4: Simplify right side
    397,551.31x = 58,459,719,271.31
  5. Step 5: Solve for x
    x = 58,459,719,271.31/397,551.31
  6. Step 6: Final answer
    x = 147,049.49

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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.