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Finding the Fourth Proportional to 283,595.04, 424,208.88 and 199,349.28

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Solution

The fourth proportional to 283,595.04, 424,208.88 and 199,349.28 is: 298,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,595.04 : 424,208.88 = 199,349.28 : x
  2. Step 2: Convert to fraction form
    283,595.04/424,208.88 = 199,349.28/x
  3. Step 3: Cross multiply
    283,595.04x = 424,208.88 × 199,349.28
  4. Step 4: Simplify right side
    283,595.04x = 84,565,734,797.61
  5. Step 5: Solve for x
    x = 84,565,734,797.61/283,595.04
  6. Step 6: Final answer
    x = 298,191.87

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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.