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Finding the Fourth Proportional to 314,274.88, 433,691.02 and 171,031.84

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Solution

The fourth proportional to 314,274.88, 433,691.02 and 171,031.84 is: 236,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,274.88 : 433,691.02 = 171,031.84 : x
  2. Step 2: Convert to fraction form
    314,274.88/433,691.02 = 171,031.84/x
  3. Step 3: Cross multiply
    314,274.88x = 433,691.02 × 171,031.84
  4. Step 4: Simplify right side
    314,274.88x = 74,174,973,142.08
  5. Step 5: Solve for x
    x = 74,174,973,142.08/314,274.88
  6. Step 6: Final answer
    x = 236,019.41

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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.