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Finding the Fourth Proportional to 549,463.28, 824,197.12 and 194,477.36

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Solution

The fourth proportional to 549,463.28, 824,197.12 and 194,477.36 is: 291,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,463.28 : 824,197.12 = 194,477.36 : x
  2. Step 2: Convert to fraction form
    549,463.28/824,197.12 = 194,477.36/x
  3. Step 3: Cross multiply
    549,463.28x = 824,197.12 × 194,477.36
  4. Step 4: Simplify right side
    549,463.28x = 160,287,680,017.20
  5. Step 5: Solve for x
    x = 160,287,680,017.20/549,463.28
  6. Step 6: Final answer
    x = 291,716.82

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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.