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Finding the Fourth Proportional to 314,443.62, 433,934.10 and 171,203.40

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Solution

The fourth proportional to 314,443.62, 433,934.10 and 171,203.40 is: 236,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,443.62 : 433,934.10 = 171,203.40 : x
  2. Step 2: Convert to fraction form
    314,443.62/433,934.10 = 171,203.40/x
  3. Step 3: Cross multiply
    314,443.62x = 433,934.10 × 171,203.40
  4. Step 4: Simplify right side
    314,443.62x = 74,290,993,295.94
  5. Step 5: Solve for x
    x = 74,290,993,295.94/314,443.62
  6. Step 6: Final answer
    x = 236,261.73

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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.