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Finding the Fourth Proportional to 464,546.36, 696,348.92 and 314,801.79

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Solution

The fourth proportional to 464,546.36, 696,348.92 and 314,801.79 is: 471,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,546.36 : 696,348.92 = 314,801.79 : x
  2. Step 2: Convert to fraction form
    464,546.36/696,348.92 = 314,801.79/x
  3. Step 3: Cross multiply
    464,546.36x = 696,348.92 × 314,801.79
  4. Step 4: Simplify right side
    464,546.36x = 219,211,887,267.57
  5. Step 5: Solve for x
    x = 219,211,887,267.57/464,546.36
  6. Step 6: Final answer
    x = 471,883.77

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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.