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Finding the Fourth Proportional to 314,266.43, 433,697.49 and 178,306.10

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Solution

The fourth proportional to 314,266.43, 433,697.49 and 178,306.10 is: 246,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,266.43 : 433,697.49 = 178,306.10 : x
  2. Step 2: Convert to fraction form
    314,266.43/433,697.49 = 178,306.10/x
  3. Step 3: Cross multiply
    314,266.43x = 433,697.49 × 178,306.10
  4. Step 4: Simplify right side
    314,266.43x = 77,330,905,853.20
  5. Step 5: Solve for x
    x = 77,330,905,853.20/314,266.43
  6. Step 6: Final answer
    x = 246,067.98

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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.