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Finding the Fourth Proportional to 517,627.61, 714,141.21 and 299,717.34

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Solution

The fourth proportional to 517,627.61, 714,141.21 and 299,717.34 is: 413,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,627.61 : 714,141.21 = 299,717.34 : x
  2. Step 2: Convert to fraction form
    517,627.61/714,141.21 = 299,717.34/x
  3. Step 3: Cross multiply
    517,627.61x = 714,141.21 × 299,717.34
  4. Step 4: Simplify right side
    517,627.61x = 214,040,503,845.58
  5. Step 5: Solve for x
    x = 214,040,503,845.58/517,627.61
  6. Step 6: Final answer
    x = 413,502.87

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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.