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Finding the Fourth Proportional to 549,816.90, 824,871.15 and 194,793.90

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Solution

The fourth proportional to 549,816.90, 824,871.15 and 194,793.90 is: 292,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,816.90 : 824,871.15 = 194,793.90 : x
  2. Step 2: Convert to fraction form
    549,816.90/824,871.15 = 194,793.90/x
  3. Step 3: Cross multiply
    549,816.90x = 824,871.15 × 194,793.90
  4. Step 4: Simplify right side
    549,816.90x = 160,679,868,305.99
  5. Step 5: Solve for x
    x = 160,679,868,305.99/549,816.90
  6. Step 6: Final answer
    x = 292,242.51

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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.