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Finding the Fourth Proportional to 409,090.32, 564,061.59 and 280,091.34

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Solution

The fourth proportional to 409,090.32, 564,061.59 and 280,091.34 is: 386,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,090.32 : 564,061.59 = 280,091.34 : x
  2. Step 2: Convert to fraction form
    409,090.32/564,061.59 = 280,091.34/x
  3. Step 3: Cross multiply
    409,090.32x = 564,061.59 × 280,091.34
  4. Step 4: Simplify right side
    409,090.32x = 157,988,766,585.63
  5. Step 5: Solve for x
    x = 157,988,766,585.63/409,090.32
  6. Step 6: Final answer
    x = 386,195.32

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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.