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Finding the Fourth Proportional to 549,492.60, 824,336.10 and 194,712.60

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Solution

The fourth proportional to 549,492.60, 824,336.10 and 194,712.60 is: 292,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,492.60 : 824,336.10 = 194,712.60 : x
  2. Step 2: Convert to fraction form
    549,492.60/824,336.10 = 194,712.60/x
  3. Step 3: Cross multiply
    549,492.60x = 824,336.10 × 194,712.60
  4. Step 4: Simplify right side
    549,492.60x = 160,508,625,304.86
  5. Step 5: Solve for x
    x = 160,508,625,304.86/549,492.60
  6. Step 6: Final answer
    x = 292,103.34

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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.