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Finding the Fourth Proportional to 402,214.92, 602,403.84 and 192,000.48

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Solution

The fourth proportional to 402,214.92, 602,403.84 and 192,000.48 is: 287,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,214.92 : 602,403.84 = 192,000.48 : x
  2. Step 2: Convert to fraction form
    402,214.92/602,403.84 = 192,000.48/x
  3. Step 3: Cross multiply
    402,214.92x = 602,403.84 × 192,000.48
  4. Step 4: Simplify right side
    402,214.92x = 115,661,826,433.84
  5. Step 5: Solve for x
    x = 115,661,826,433.84/402,214.92
  6. Step 6: Final answer
    x = 287,562.25

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1.5x scale

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.