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Finding the Fourth Proportional to 549,449.66, 823,510.12 and 283,064.85

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Solution

The fourth proportional to 549,449.66, 823,510.12 and 283,064.85 is: 424,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,449.66 : 823,510.12 = 283,064.85 : x
  2. Step 2: Convert to fraction form
    549,449.66/823,510.12 = 283,064.85/x
  3. Step 3: Cross multiply
    549,449.66x = 823,510.12 × 283,064.85
  4. Step 4: Simplify right side
    549,449.66x = 233,106,768,591.28
  5. Step 5: Solve for x
    x = 233,106,768,591.28/549,449.66
  6. Step 6: Final answer
    x = 424,255.01

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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.