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Finding the Fourth Proportional to 299,042.77, 412,688.94 and 163,084.13

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Solution

The fourth proportional to 299,042.77, 412,688.94 and 163,084.13 is: 225,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,042.77 : 412,688.94 = 163,084.13 : x
  2. Step 2: Convert to fraction form
    299,042.77/412,688.94 = 163,084.13/x
  3. Step 3: Cross multiply
    299,042.77x = 412,688.94 × 163,084.13
  4. Step 4: Simplify right side
    299,042.77x = 67,303,016,740.52
  5. Step 5: Solve for x
    x = 67,303,016,740.52/299,042.77
  6. Step 6: Final answer
    x = 225,061.51

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1.5x scale

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.