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Finding the Fourth Proportional to 377,527.23, 566,290.71 and 137,659.23

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Solution

The fourth proportional to 377,527.23, 566,290.71 and 137,659.23 is: 206,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,527.23 : 566,290.71 = 137,659.23 : x
  2. Step 2: Convert to fraction form
    377,527.23/566,290.71 = 137,659.23/x
  3. Step 3: Cross multiply
    377,527.23x = 566,290.71 × 137,659.23
  4. Step 4: Simplify right side
    377,527.23x = 77,955,143,094.75
  5. Step 5: Solve for x
    x = 77,955,143,094.75/377,527.23
  6. Step 6: Final answer
    x = 206,488.80

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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.