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Finding the Fourth Proportional to 402,219.92, 602,411.34 and 192,005.48

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Solution

The fourth proportional to 402,219.92, 602,411.34 and 192,005.48 is: 287,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,219.92 : 602,411.34 = 192,005.48 : x
  2. Step 2: Convert to fraction form
    402,219.92/602,411.34 = 192,005.48/x
  3. Step 3: Cross multiply
    402,219.92x = 602,411.34 × 192,005.48
  4. Step 4: Simplify right side
    402,219.92x = 115,666,278,494.14
  5. Step 5: Solve for x
    x = 115,666,278,494.14/402,219.92
  6. Step 6: Final answer
    x = 287,569.74

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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.