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Finding the Fourth Proportional to 502,323.12, 753,589.98 and 147,308.22

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Solution

The fourth proportional to 502,323.12, 753,589.98 and 147,308.22 is: 220,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,323.12 : 753,589.98 = 147,308.22 : x
  2. Step 2: Convert to fraction form
    502,323.12/753,589.98 = 147,308.22/x
  3. Step 3: Cross multiply
    502,323.12x = 753,589.98 × 147,308.22
  4. Step 4: Simplify right side
    502,323.12x = 111,009,998,563.64
  5. Step 5: Solve for x
    x = 111,009,998,563.64/502,323.12
  6. Step 6: Final answer
    x = 220,993.21

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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.