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Finding the Fourth Proportional to 549,567.60, 824,199.12 and 194,534.88

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Solution

The fourth proportional to 549,567.60, 824,199.12 and 194,534.88 is: 291,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,567.60 : 824,199.12 = 194,534.88 : x
  2. Step 2: Convert to fraction form
    549,567.60/824,199.12 = 194,534.88/x
  3. Step 3: Cross multiply
    549,567.60x = 824,199.12 × 194,534.88
  4. Step 4: Simplify right side
    549,567.60x = 160,335,476,905.31
  5. Step 5: Solve for x
    x = 160,335,476,905.31/549,567.60
  6. Step 6: Final answer
    x = 291,748.42

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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.