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Finding the Fourth Proportional to 256,583.88, 354,079.64 and 143,417.16

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Solution

The fourth proportional to 256,583.88, 354,079.64 and 143,417.16 is: 197,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,583.88 : 354,079.64 = 143,417.16 : x
  2. Step 2: Convert to fraction form
    256,583.88/354,079.64 = 143,417.16/x
  3. Step 3: Cross multiply
    256,583.88x = 354,079.64 × 143,417.16
  4. Step 4: Simplify right side
    256,583.88x = 50,781,098,068.96
  5. Step 5: Solve for x
    x = 50,781,098,068.96/256,583.88
  6. Step 6: Final answer
    x = 197,912.27

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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.