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Finding the Fourth Proportional to 340,065.68, 469,241.10 and 204,070.72

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Solution

The fourth proportional to 340,065.68, 469,241.10 and 204,070.72 is: 281,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,065.68 : 469,241.10 = 204,070.72 : x
  2. Step 2: Convert to fraction form
    340,065.68/469,241.10 = 204,070.72/x
  3. Step 3: Cross multiply
    340,065.68x = 469,241.10 × 204,070.72
  4. Step 4: Simplify right side
    340,065.68x = 95,758,369,130.59
  5. Step 5: Solve for x
    x = 95,758,369,130.59/340,065.68
  6. Step 6: Final answer
    x = 281,587.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.