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Finding the Fourth Proportional to 549,097.80, 823,646.70 and 194,147.70

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Solution

The fourth proportional to 549,097.80, 823,646.70 and 194,147.70 is: 291,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,097.80 : 823,646.70 = 194,147.70 : x
  2. Step 2: Convert to fraction form
    549,097.80/823,646.70 = 194,147.70/x
  3. Step 3: Cross multiply
    549,097.80x = 823,646.70 × 194,147.70
  4. Step 4: Simplify right side
    549,097.80x = 159,909,112,417.59
  5. Step 5: Solve for x
    x = 159,909,112,417.59/549,097.80
  6. Step 6: Final answer
    x = 291,221.55

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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.