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Finding the Fourth Proportional to 390,523.88, 585,671 and 165,882.53

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Solution

The fourth proportional to 390,523.88, 585,671 and 165,882.53 is: 248,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,523.88 : 585,671 = 165,882.53 : x
  2. Step 2: Convert to fraction form
    390,523.88/585,671 = 165,882.53/x
  3. Step 3: Cross multiply
    390,523.88x = 585,671 × 165,882.53
  4. Step 4: Simplify right side
    390,523.88x = 97,152,587,227.63
  5. Step 5: Solve for x
    x = 97,152,587,227.63/390,523.88
  6. Step 6: Final answer
    x = 248,775.02

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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.