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Finding the Fourth Proportional to 549,655.60, 823,083.69 and 362,098.48

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Solution

The fourth proportional to 549,655.60, 823,083.69 and 362,098.48 is: 542,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,655.60 : 823,083.69 = 362,098.48 : x
  2. Step 2: Convert to fraction form
    549,655.60/823,083.69 = 362,098.48/x
  3. Step 3: Cross multiply
    549,655.60x = 823,083.69 × 362,098.48
  4. Step 4: Simplify right side
    549,655.60x = 298,037,353,061.79
  5. Step 5: Solve for x
    x = 298,037,353,061.79/549,655.60
  6. Step 6: Final answer
    x = 542,225.63

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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.