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Finding the Fourth Proportional to 333,902.18, 501,017.68 and 156,378.52

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Solution

The fourth proportional to 333,902.18, 501,017.68 and 156,378.52 is: 234,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,902.18 : 501,017.68 = 156,378.52 : x
  2. Step 2: Convert to fraction form
    333,902.18/501,017.68 = 156,378.52/x
  3. Step 3: Cross multiply
    333,902.18x = 501,017.68 × 156,378.52
  4. Step 4: Simplify right side
    333,902.18x = 78,348,403,292.23
  5. Step 5: Solve for x
    x = 78,348,403,292.23/333,902.18
  6. Step 6: Final answer
    x = 234,644.78

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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.