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Finding the Fourth Proportional to 314,770.68, 434,384.10 and 171,531.36

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Solution

The fourth proportional to 314,770.68, 434,384.10 and 171,531.36 is: 236,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,770.68 : 434,384.10 = 171,531.36 : x
  2. Step 2: Convert to fraction form
    314,770.68/434,384.10 = 171,531.36/x
  3. Step 3: Cross multiply
    314,770.68x = 434,384.10 × 171,531.36
  4. Step 4: Simplify right side
    314,770.68x = 74,510,495,435.38
  5. Step 5: Solve for x
    x = 74,510,495,435.38/314,770.68
  6. Step 6: Final answer
    x = 236,713.58

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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.