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Finding the Fourth Proportional to 298,726.16, 412,053.71 and 177,777.14

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Solution

The fourth proportional to 298,726.16, 412,053.71 and 177,777.14 is: 245,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,726.16 : 412,053.71 = 177,777.14 : x
  2. Step 2: Convert to fraction form
    298,726.16/412,053.71 = 177,777.14/x
  3. Step 3: Cross multiply
    298,726.16x = 412,053.71 × 177,777.14
  4. Step 4: Simplify right side
    298,726.16x = 73,253,727,141.04
  5. Step 5: Solve for x
    x = 73,253,727,141.04/298,726.16
  6. Step 6: Final answer
    x = 245,220.33

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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.