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Finding the Fourth Proportional to 502,865.70, 694,301.67 and 341,853.90

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Solution

The fourth proportional to 502,865.70, 694,301.67 and 341,853.90 is: 471,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,865.70 : 694,301.67 = 341,853.90 : x
  2. Step 2: Convert to fraction form
    502,865.70/694,301.67 = 341,853.90/x
  3. Step 3: Cross multiply
    502,865.70x = 694,301.67 × 341,853.90
  4. Step 4: Simplify right side
    502,865.70x = 237,349,733,666.01
  5. Step 5: Solve for x
    x = 237,349,733,666.01/502,865.70
  6. Step 6: Final answer
    x = 471,994.28

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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.