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Finding the Fourth Proportional to 360,271.77, 497,104.38 and 217,039.71

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Solution

The fourth proportional to 360,271.77, 497,104.38 and 217,039.71 is: 299,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,271.77 : 497,104.38 = 217,039.71 : x
  2. Step 2: Convert to fraction form
    360,271.77/497,104.38 = 217,039.71/x
  3. Step 3: Cross multiply
    360,271.77x = 497,104.38 × 217,039.71
  4. Step 4: Simplify right side
    360,271.77x = 107,891,390,474.93
  5. Step 5: Solve for x
    x = 107,891,390,474.93/360,271.77
  6. Step 6: Final answer
    x = 299,472.23

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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.