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Finding the Fourth Proportional to 474,700.06, 712,047.97 and 194,217.31

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Solution

The fourth proportional to 474,700.06, 712,047.97 and 194,217.31 is: 291,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,700.06 : 712,047.97 = 194,217.31 : x
  2. Step 2: Convert to fraction form
    474,700.06/712,047.97 = 194,217.31/x
  3. Step 3: Cross multiply
    474,700.06x = 712,047.97 × 194,217.31
  4. Step 4: Simplify right side
    474,700.06x = 138,292,041,364.72
  5. Step 5: Solve for x
    x = 138,292,041,364.72/474,700.06
  6. Step 6: Final answer
    x = 291,325.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.