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Finding the Fourth Proportional to 417,290.56, 625,778.70 and 150,985.24

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Solution

The fourth proportional to 417,290.56, 625,778.70 and 150,985.24 is: 226,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,290.56 : 625,778.70 = 150,985.24 : x
  2. Step 2: Convert to fraction form
    417,290.56/625,778.70 = 150,985.24/x
  3. Step 3: Cross multiply
    417,290.56x = 625,778.70 × 150,985.24
  4. Step 4: Simplify right side
    417,290.56x = 94,483,347,206.39
  5. Step 5: Solve for x
    x = 94,483,347,206.39/417,290.56
  6. Step 6: Final answer
    x = 226,421.00

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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.