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Finding the Fourth Proportional to 549,543.96, 824,371.83 and 189,667.98

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Solution

The fourth proportional to 549,543.96, 824,371.83 and 189,667.98 is: 284,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,543.96 : 824,371.83 = 189,667.98 : x
  2. Step 2: Convert to fraction form
    549,543.96/824,371.83 = 189,667.98/x
  3. Step 3: Cross multiply
    549,543.96x = 824,371.83 × 189,667.98
  4. Step 4: Simplify right side
    549,543.96x = 156,356,939,765.00
  5. Step 5: Solve for x
    x = 156,356,939,765.00/549,543.96
  6. Step 6: Final answer
    x = 284,521.26

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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.