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Finding the Fourth Proportional to 465,279.57, 696,938.52 and 212,772.57

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Solution

The fourth proportional to 465,279.57, 696,938.52 and 212,772.57 is: 318,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,279.57 : 696,938.52 = 212,772.57 : x
  2. Step 2: Convert to fraction form
    465,279.57/696,938.52 = 212,772.57/x
  3. Step 3: Cross multiply
    465,279.57x = 696,938.52 × 212,772.57
  4. Step 4: Simplify right side
    465,279.57x = 148,289,400,032.40
  5. Step 5: Solve for x
    x = 148,289,400,032.40/465,279.57
  6. Step 6: Final answer
    x = 318,710.32

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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.