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Finding the Fourth Proportional to 549,680.40, 824,434.20 and 194,643.60

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Solution

The fourth proportional to 549,680.40, 824,434.20 and 194,643.60 is: 291,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,680.40 : 824,434.20 = 194,643.60 : x
  2. Step 2: Convert to fraction form
    549,680.40/824,434.20 = 194,643.60/x
  3. Step 3: Cross multiply
    549,680.40x = 824,434.20 × 194,643.60
  4. Step 4: Simplify right side
    549,680.40x = 160,470,840,651.12
  5. Step 5: Solve for x
    x = 160,470,840,651.12/549,680.40
  6. Step 6: Final answer
    x = 291,934.81

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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.