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Finding the Fourth Proportional to 519,689.50, 717,171.56 and 293,349.58

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Solution

The fourth proportional to 519,689.50, 717,171.56 and 293,349.58 is: 404,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,689.50 : 717,171.56 = 293,349.58 : x
  2. Step 2: Convert to fraction form
    519,689.50/717,171.56 = 293,349.58/x
  3. Step 3: Cross multiply
    519,689.50x = 717,171.56 × 293,349.58
  4. Step 4: Simplify right side
    519,689.50x = 210,381,975,913.95
  5. Step 5: Solve for x
    x = 210,381,975,913.95/519,689.50
  6. Step 6: Final answer
    x = 404,822.45

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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.