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Finding the Fourth Proportional to 417,031, 625,661.70 and 121,543

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Solution

The fourth proportional to 417,031, 625,661.70 and 121,543 is: 182,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,031 : 625,661.70 = 121,543 : x
  2. Step 2: Convert to fraction form
    417,031/625,661.70 = 121,543/x
  3. Step 3: Cross multiply
    417,031x = 625,661.70 × 121,543
  4. Step 4: Simplify right side
    417,031x = 76,044,800,003.10
  5. Step 5: Solve for x
    x = 76,044,800,003.10/417,031
  6. Step 6: Final answer
    x = 182,348.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.