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Finding the Fourth Proportional to 409,118.37, 564,940.29 and 256,419.06

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Solution

The fourth proportional to 409,118.37, 564,940.29 and 256,419.06 is: 354,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,118.37 : 564,940.29 = 256,419.06 : x
  2. Step 2: Convert to fraction form
    409,118.37/564,940.29 = 256,419.06/x
  3. Step 3: Cross multiply
    409,118.37x = 564,940.29 × 256,419.06
  4. Step 4: Simplify right side
    409,118.37x = 144,861,458,117.93
  5. Step 5: Solve for x
    x = 144,861,458,117.93/409,118.37
  6. Step 6: Final answer
    x = 354,082.02

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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.