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Finding the Fourth Proportional to 549,346.50, 824,024.88 and 194,420.70

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Solution

The fourth proportional to 549,346.50, 824,024.88 and 194,420.70 is: 291,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,346.50 : 824,024.88 = 194,420.70 : x
  2. Step 2: Convert to fraction form
    549,346.50/824,024.88 = 194,420.70/x
  3. Step 3: Cross multiply
    549,346.50x = 824,024.88 × 194,420.70
  4. Step 4: Simplify right side
    549,346.50x = 160,207,493,987.02
  5. Step 5: Solve for x
    x = 160,207,493,987.02/549,346.50
  6. Step 6: Final answer
    x = 291,632.87

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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.