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Finding the Fourth Proportional to 363,930.14, 502,234.13 and 210,968.93

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Solution

The fourth proportional to 363,930.14, 502,234.13 and 210,968.93 is: 291,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,930.14 : 502,234.13 = 210,968.93 : x
  2. Step 2: Convert to fraction form
    363,930.14/502,234.13 = 210,968.93/x
  3. Step 3: Cross multiply
    363,930.14x = 502,234.13 × 210,968.93
  4. Step 4: Simplify right side
    363,930.14x = 105,955,795,031.83
  5. Step 5: Solve for x
    x = 105,955,795,031.83/363,930.14
  6. Step 6: Final answer
    x = 291,143.23

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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.