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Finding the Fourth Proportional to 235,752.40, 353,398.20 and 210,869.20

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Solution

The fourth proportional to 235,752.40, 353,398.20 and 210,869.20 is: 316,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,752.40 : 353,398.20 = 210,869.20 : x
  2. Step 2: Convert to fraction form
    235,752.40/353,398.20 = 210,869.20/x
  3. Step 3: Cross multiply
    235,752.40x = 353,398.20 × 210,869.20
  4. Step 4: Simplify right side
    235,752.40x = 74,520,795,715.44
  5. Step 5: Solve for x
    x = 74,520,795,715.44/235,752.40
  6. Step 6: Final answer
    x = 316,097.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.