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Finding the Fourth Proportional to 314,156.98, 433,530.66 and 174,450.88

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Solution

The fourth proportional to 314,156.98, 433,530.66 and 174,450.88 is: 240,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,156.98 : 433,530.66 = 174,450.88 : x
  2. Step 2: Convert to fraction form
    314,156.98/433,530.66 = 174,450.88/x
  3. Step 3: Cross multiply
    314,156.98x = 433,530.66 × 174,450.88
  4. Step 4: Simplify right side
    314,156.98x = 75,629,805,143.98
  5. Step 5: Solve for x
    x = 75,629,805,143.98/314,156.98
  6. Step 6: Final answer
    x = 240,738.90

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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.