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Finding the Fourth Proportional to 363,767.83, 502,000.14 and 210,835.78

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Solution

The fourth proportional to 363,767.83, 502,000.14 and 210,835.78 is: 290,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,767.83 : 502,000.14 = 210,835.78 : x
  2. Step 2: Convert to fraction form
    363,767.83/502,000.14 = 210,835.78/x
  3. Step 3: Cross multiply
    363,767.83x = 502,000.14 × 210,835.78
  4. Step 4: Simplify right side
    363,767.83x = 105,839,591,077.01
  5. Step 5: Solve for x
    x = 105,839,591,077.01/363,767.83
  6. Step 6: Final answer
    x = 290,953.69

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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.