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Finding the Fourth Proportional to 390,461.60, 585,023.14 and 262,137.56

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Solution

The fourth proportional to 390,461.60, 585,023.14 and 262,137.56 is: 392,757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,461.60 : 585,023.14 = 262,137.56 : x
  2. Step 2: Convert to fraction form
    390,461.60/585,023.14 = 262,137.56/x
  3. Step 3: Cross multiply
    390,461.60x = 585,023.14 × 262,137.56
  4. Step 4: Simplify right side
    390,461.60x = 153,356,538,463.14
  5. Step 5: Solve for x
    x = 153,356,538,463.14/390,461.60
  6. Step 6: Final answer
    x = 392,757.03

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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.