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Finding the Fourth Proportional to 549,654.60, 823,082.19 and 362,097.48

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Solution

The fourth proportional to 549,654.60, 823,082.19 and 362,097.48 is: 542,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,654.60 : 823,082.19 = 362,097.48 : x
  2. Step 2: Convert to fraction form
    549,654.60/823,082.19 = 362,097.48/x
  3. Step 3: Cross multiply
    549,654.60x = 823,082.19 × 362,097.48
  4. Step 4: Simplify right side
    549,654.60x = 298,035,986,831.88
  5. Step 5: Solve for x
    x = 298,035,986,831.88/549,654.60
  6. Step 6: Final answer
    x = 542,224.13

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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.