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Finding the Fourth Proportional to 349,853.80, 523,614.30 and 307,863.40

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Solution

The fourth proportional to 349,853.80, 523,614.30 and 307,863.40 is: 460,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,853.80 : 523,614.30 = 307,863.40 : x
  2. Step 2: Convert to fraction form
    349,853.80/523,614.30 = 307,863.40/x
  3. Step 3: Cross multiply
    349,853.80x = 523,614.30 × 307,863.40
  4. Step 4: Simplify right side
    349,853.80x = 161,201,678,686.62
  5. Step 5: Solve for x
    x = 161,201,678,686.62/349,853.80
  6. Step 6: Final answer
    x = 460,768.69

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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.