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Finding the Fourth Proportional to 256,585, 354,087.84 and 171,904.36

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Solution

The fourth proportional to 256,585, 354,087.84 and 171,904.36 is: 237,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,585 : 354,087.84 = 171,904.36 : x
  2. Step 2: Convert to fraction form
    256,585/354,087.84 = 171,904.36/x
  3. Step 3: Cross multiply
    256,585x = 354,087.84 × 171,904.36
  4. Step 4: Simplify right side
    256,585x = 60,869,243,518.98
  5. Step 5: Solve for x
    x = 60,869,243,518.98/256,585
  6. Step 6: Final answer
    x = 237,228.38

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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.