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Finding the Fourth Proportional to 410,921.28, 567,029.12 and 281,970.32

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Solution

The fourth proportional to 410,921.28, 567,029.12 and 281,970.32 is: 389,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,921.28 : 567,029.12 = 281,970.32 : x
  2. Step 2: Convert to fraction form
    410,921.28/567,029.12 = 281,970.32/x
  3. Step 3: Cross multiply
    410,921.28x = 567,029.12 × 281,970.32
  4. Step 4: Simplify right side
    410,921.28x = 159,885,382,415.72
  5. Step 5: Solve for x
    x = 159,885,382,415.72/410,921.28
  6. Step 6: Final answer
    x = 389,090.05

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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.