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Finding the Fourth Proportional to 549,654.40, 824,395.20 and 194,617.60

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Solution

The fourth proportional to 549,654.40, 824,395.20 and 194,617.60 is: 291,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,654.40 : 824,395.20 = 194,617.60 : x
  2. Step 2: Convert to fraction form
    549,654.40/824,395.20 = 194,617.60/x
  3. Step 3: Cross multiply
    549,654.40x = 824,395.20 × 194,617.60
  4. Step 4: Simplify right side
    549,654.40x = 160,441,815,275.52
  5. Step 5: Solve for x
    x = 160,441,815,275.52/549,654.40
  6. Step 6: Final answer
    x = 291,895.81

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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.