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Finding the Fourth Proportional to 389,521.24, 584,281.86 and 94,033.24

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Solution

The fourth proportional to 389,521.24, 584,281.86 and 94,033.24 is: 141,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,521.24 : 584,281.86 = 94,033.24 : x
  2. Step 2: Convert to fraction form
    389,521.24/584,281.86 = 94,033.24/x
  3. Step 3: Cross multiply
    389,521.24x = 584,281.86 × 94,033.24
  4. Step 4: Simplify right side
    389,521.24x = 54,941,916,369.03
  5. Step 5: Solve for x
    x = 54,941,916,369.03/389,521.24
  6. Step 6: Final answer
    x = 141,049.86

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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.