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Finding the Fourth Proportional to 549,636.80, 824,455.20 and 461,063.30

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Solution

The fourth proportional to 549,636.80, 824,455.20 and 461,063.30 is: 691,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,636.80 : 824,455.20 = 461,063.30 : x
  2. Step 2: Convert to fraction form
    549,636.80/824,455.20 = 461,063.30/x
  3. Step 3: Cross multiply
    549,636.80x = 824,455.20 × 461,063.30
  4. Step 4: Simplify right side
    549,636.80x = 380,126,035,214.16
  5. Step 5: Solve for x
    x = 380,126,035,214.16/549,636.80
  6. Step 6: Final answer
    x = 691,594.95

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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.