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Finding the Fourth Proportional to 423,652.14, 584,470.91 and 270,650.66

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Solution

The fourth proportional to 423,652.14, 584,470.91 and 270,650.66 is: 373,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,652.14 : 584,470.91 = 270,650.66 : x
  2. Step 2: Convert to fraction form
    423,652.14/584,470.91 = 270,650.66/x
  3. Step 3: Cross multiply
    423,652.14x = 584,470.91 × 270,650.66
  4. Step 4: Simplify right side
    423,652.14x = 158,187,433,266.69
  5. Step 5: Solve for x
    x = 158,187,433,266.69/423,652.14
  6. Step 6: Final answer
    x = 373,389.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.