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Finding the Fourth Proportional to 502,597.40, 753,989.52 and 165,661.70

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Solution

The fourth proportional to 502,597.40, 753,989.52 and 165,661.70 is: 248,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,597.40 : 753,989.52 = 165,661.70 : x
  2. Step 2: Convert to fraction form
    502,597.40/753,989.52 = 165,661.70/x
  3. Step 3: Cross multiply
    502,597.40x = 753,989.52 × 165,661.70
  4. Step 4: Simplify right side
    502,597.40x = 124,907,185,665.38
  5. Step 5: Solve for x
    x = 124,907,185,665.38/502,597.40
  6. Step 6: Final answer
    x = 248,523.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.