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Finding the Fourth Proportional to 364,057.42, 502,401.57 and 202,922.69

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Solution

The fourth proportional to 364,057.42, 502,401.57 and 202,922.69 is: 280,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,057.42 : 502,401.57 = 202,922.69 : x
  2. Step 2: Convert to fraction form
    364,057.42/502,401.57 = 202,922.69/x
  3. Step 3: Cross multiply
    364,057.42x = 502,401.57 × 202,922.69
  4. Step 4: Simplify right side
    364,057.42x = 101,948,675,532.62
  5. Step 5: Solve for x
    x = 101,948,675,532.62/364,057.42
  6. Step 6: Final answer
    x = 280,034.60

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1.5x scale

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.