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Finding the Fourth Proportional to 363,253.28, 501,281.70 and 210,297.93

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Solution

The fourth proportional to 363,253.28, 501,281.70 and 210,297.93 is: 290,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,253.28 : 501,281.70 = 210,297.93 : x
  2. Step 2: Convert to fraction form
    363,253.28/501,281.70 = 210,297.93/x
  3. Step 3: Cross multiply
    363,253.28x = 501,281.70 × 210,297.93
  4. Step 4: Simplify right side
    363,253.28x = 105,418,503,856.88
  5. Step 5: Solve for x
    x = 105,418,503,856.88/363,253.28
  6. Step 6: Final answer
    x = 290,206.62

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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.