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Finding the Fourth Proportional to 364,100.40, 502,397.64 and 202,920.12

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Solution

The fourth proportional to 364,100.40, 502,397.64 and 202,920.12 is: 279,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,100.40 : 502,397.64 = 202,920.12 : x
  2. Step 2: Convert to fraction form
    364,100.40/502,397.64 = 202,920.12/x
  3. Step 3: Cross multiply
    364,100.40x = 502,397.64 × 202,920.12
  4. Step 4: Simplify right side
    364,100.40x = 101,946,589,396.52
  5. Step 5: Solve for x
    x = 101,946,589,396.52/364,100.40
  6. Step 6: Final answer
    x = 279,995.82

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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.