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Finding the Fourth Proportional to 314,108.52, 433,476.78 and 170,876.28

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Solution

The fourth proportional to 314,108.52, 433,476.78 and 170,876.28 is: 235,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,108.52 : 433,476.78 = 170,876.28 : x
  2. Step 2: Convert to fraction form
    314,108.52/433,476.78 = 170,876.28/x
  3. Step 3: Cross multiply
    314,108.52x = 433,476.78 × 170,876.28
  4. Step 4: Simplify right side
    314,108.52x = 74,070,899,632.78
  5. Step 5: Solve for x
    x = 74,070,899,632.78/314,108.52
  6. Step 6: Final answer
    x = 235,813.09

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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.