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Finding the Fourth Proportional to 364,105.35, 502,259.63 and 227,902.84

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Solution

The fourth proportional to 364,105.35, 502,259.63 and 227,902.84 is: 314,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,105.35 : 502,259.63 = 227,902.84 : x
  2. Step 2: Convert to fraction form
    364,105.35/502,259.63 = 227,902.84/x
  3. Step 3: Cross multiply
    364,105.35x = 502,259.63 × 227,902.84
  4. Step 4: Simplify right side
    364,105.35x = 114,466,396,094.35
  5. Step 5: Solve for x
    x = 114,466,396,094.35/364,105.35
  6. Step 6: Final answer
    x = 314,377.13

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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.