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Finding the Fourth Proportional to 416,982.87, 575,437.28 and 225,996.21

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Solution

The fourth proportional to 416,982.87, 575,437.28 and 225,996.21 is: 311,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,982.87 : 575,437.28 = 225,996.21 : x
  2. Step 2: Convert to fraction form
    416,982.87/575,437.28 = 225,996.21/x
  3. Step 3: Cross multiply
    416,982.87x = 575,437.28 × 225,996.21
  4. Step 4: Simplify right side
    416,982.87x = 130,046,643,242.73
  5. Step 5: Solve for x
    x = 130,046,643,242.73/416,982.87
  6. Step 6: Final answer
    x = 311,875.27

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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.