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Finding the Fourth Proportional to 502,286.16, 753,533.03 and 165,347.03

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Solution

The fourth proportional to 502,286.16, 753,533.03 and 165,347.03 is: 248,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,286.16 : 753,533.03 = 165,347.03 : x
  2. Step 2: Convert to fraction form
    502,286.16/753,533.03 = 165,347.03/x
  3. Step 3: Cross multiply
    502,286.16x = 753,533.03 × 165,347.03
  4. Step 4: Simplify right side
    502,286.16x = 124,594,448,517.40
  5. Step 5: Solve for x
    x = 124,594,448,517.40/502,286.16
  6. Step 6: Final answer
    x = 248,054.71

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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.