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Finding the Fourth Proportional to 464,569.40, 696,383.40 and 314,824.70

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Solution

The fourth proportional to 464,569.40, 696,383.40 and 314,824.70 is: 471,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,569.40 : 696,383.40 = 314,824.70 : x
  2. Step 2: Convert to fraction form
    464,569.40/696,383.40 = 314,824.70/x
  3. Step 3: Cross multiply
    464,569.40x = 696,383.40 × 314,824.70
  4. Step 4: Simplify right side
    464,569.40x = 219,238,694,989.98
  5. Step 5: Solve for x
    x = 219,238,694,989.98/464,569.40
  6. Step 6: Final answer
    x = 471,918.07

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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.