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Finding the Fourth Proportional to 549,508.32, 824,024.88 and 189,717.12

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Solution

The fourth proportional to 549,508.32, 824,024.88 and 189,717.12 is: 284,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,508.32 : 824,024.88 = 189,717.12 : x
  2. Step 2: Convert to fraction form
    549,508.32/824,024.88 = 189,717.12/x
  3. Step 3: Cross multiply
    549,508.32x = 824,024.88 × 189,717.12
  4. Step 4: Simplify right side
    549,508.32x = 156,331,627,041.95
  5. Step 5: Solve for x
    x = 156,331,627,041.95/549,508.32
  6. Step 6: Final answer
    x = 284,493.65

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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.