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Finding the Fourth Proportional to 517,833.17, 714,595.29 and 288,390.38

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Solution

The fourth proportional to 517,833.17, 714,595.29 and 288,390.38 is: 397,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,833.17 : 714,595.29 = 288,390.38 : x
  2. Step 2: Convert to fraction form
    517,833.17/714,595.29 = 288,390.38/x
  3. Step 3: Cross multiply
    517,833.17x = 714,595.29 × 288,390.38
  4. Step 4: Simplify right side
    517,833.17x = 206,082,407,229.31
  5. Step 5: Solve for x
    x = 206,082,407,229.31/517,833.17
  6. Step 6: Final answer
    x = 397,970.66

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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.