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Finding the Fourth Proportional to 549,269.20, 823,903.80 and 194,294.80

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Solution

The fourth proportional to 549,269.20, 823,903.80 and 194,294.80 is: 291,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,269.20 : 823,903.80 = 194,294.80 : x
  2. Step 2: Convert to fraction form
    549,269.20/823,903.80 = 194,294.80/x
  3. Step 3: Cross multiply
    549,269.20x = 823,903.80 × 194,294.80
  4. Step 4: Simplify right side
    549,269.20x = 160,080,224,040.24
  5. Step 5: Solve for x
    x = 160,080,224,040.24/549,269.20
  6. Step 6: Final answer
    x = 291,442.20

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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.