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Finding the Fourth Proportional to 314,910.84, 434,560.86 and 171,656.76

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Solution

The fourth proportional to 314,910.84, 434,560.86 and 171,656.76 is: 236,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,910.84 : 434,560.86 = 171,656.76 : x
  2. Step 2: Convert to fraction form
    314,910.84/434,560.86 = 171,656.76/x
  3. Step 3: Cross multiply
    314,910.84x = 434,560.86 × 171,656.76
  4. Step 4: Simplify right side
    314,910.84x = 74,595,309,250.41
  5. Step 5: Solve for x
    x = 74,595,309,250.41/314,910.84
  6. Step 6: Final answer
    x = 236,877.55

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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.