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Finding the Fourth Proportional to 517,551.83, 714,213.82 and 288,108.70

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Solution

The fourth proportional to 517,551.83, 714,213.82 and 288,108.70 is: 397,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,551.83 : 714,213.82 = 288,108.70 : x
  2. Step 2: Convert to fraction form
    517,551.83/714,213.82 = 288,108.70/x
  3. Step 3: Cross multiply
    517,551.83x = 714,213.82 × 288,108.70
  4. Step 4: Simplify right side
    517,551.83x = 205,771,213,776.84
  5. Step 5: Solve for x
    x = 205,771,213,776.84/517,551.83
  6. Step 6: Final answer
    x = 397,585.71

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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.