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Finding the Fourth Proportional to 549,543.46, 824,371.08 and 189,667.48

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Solution

The fourth proportional to 549,543.46, 824,371.08 and 189,667.48 is: 284,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,543.46 : 824,371.08 = 189,667.48 : x
  2. Step 2: Convert to fraction form
    549,543.46/824,371.08 = 189,667.48/x
  3. Step 3: Cross multiply
    549,543.46x = 824,371.08 × 189,667.48
  4. Step 4: Simplify right side
    549,543.46x = 156,356,385,328.48
  5. Step 5: Solve for x
    x = 156,356,385,328.48/549,543.46
  6. Step 6: Final answer
    x = 284,520.51

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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.