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Finding the Fourth Proportional to 418,543.20, 628,160.40 and 194,248.80

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Solution

The fourth proportional to 418,543.20, 628,160.40 and 194,248.80 is: 291,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,543.20 : 628,160.40 = 194,248.80 : x
  2. Step 2: Convert to fraction form
    418,543.20/628,160.40 = 194,248.80/x
  3. Step 3: Cross multiply
    418,543.20x = 628,160.40 × 194,248.80
  4. Step 4: Simplify right side
    418,543.20x = 122,019,403,907.52
  5. Step 5: Solve for x
    x = 122,019,403,907.52/418,543.20
  6. Step 6: Final answer
    x = 291,533.60

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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.