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Finding the Fourth Proportional to 417,166.09, 625,378.02 and 150,867.40

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Solution

The fourth proportional to 417,166.09, 625,378.02 and 150,867.40 is: 226,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,166.09 : 625,378.02 = 150,867.40 : x
  2. Step 2: Convert to fraction form
    417,166.09/625,378.02 = 150,867.40/x
  3. Step 3: Cross multiply
    417,166.09x = 625,378.02 × 150,867.40
  4. Step 4: Simplify right side
    417,166.09x = 94,349,155,894.55
  5. Step 5: Solve for x
    x = 94,349,155,894.55/417,166.09
  6. Step 6: Final answer
    x = 226,166.89

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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.