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Finding the Fourth Proportional to 549,191.95, 823,628.80 and 164,925.30

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Solution

The fourth proportional to 549,191.95, 823,628.80 and 164,925.30 is: 247,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,191.95 : 823,628.80 = 164,925.30 : x
  2. Step 2: Convert to fraction form
    549,191.95/823,628.80 = 164,925.30/x
  3. Step 3: Cross multiply
    549,191.95x = 823,628.80 × 164,925.30
  4. Step 4: Simplify right side
    549,191.95x = 135,837,226,516.33
  5. Step 5: Solve for x
    x = 135,837,226,516.33/549,191.95
  6. Step 6: Final answer
    x = 247,340.16

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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.