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Finding the Fourth Proportional to 303,875.80, 456,224.10 and 177,645.40

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Solution

The fourth proportional to 303,875.80, 456,224.10 and 177,645.40 is: 266,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,875.80 : 456,224.10 = 177,645.40 : x
  2. Step 2: Convert to fraction form
    303,875.80/456,224.10 = 177,645.40/x
  3. Step 3: Cross multiply
    303,875.80x = 456,224.10 × 177,645.40
  4. Step 4: Simplify right side
    303,875.80x = 81,046,112,734.14
  5. Step 5: Solve for x
    x = 81,046,112,734.14/303,875.80
  6. Step 6: Final answer
    x = 266,708.02

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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.