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Finding the Fourth Proportional to 549,697.80, 824,255.10 and 194,723.40

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Solution

The fourth proportional to 549,697.80, 824,255.10 and 194,723.40 is: 291,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,697.80 : 824,255.10 = 194,723.40 : x
  2. Step 2: Convert to fraction form
    549,697.80/824,255.10 = 194,723.40/x
  3. Step 3: Cross multiply
    549,697.80x = 824,255.10 × 194,723.40
  4. Step 4: Simplify right side
    549,697.80x = 160,501,755,539.34
  5. Step 5: Solve for x
    x = 160,501,755,539.34/549,697.80
  6. Step 6: Final answer
    x = 291,981.80

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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.