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Finding the Fourth Proportional to 464,553.29, 696,359.33 and 314,808.73

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Solution

The fourth proportional to 464,553.29, 696,359.33 and 314,808.73 is: 471,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,553.29 : 696,359.33 = 314,808.73 : x
  2. Step 2: Convert to fraction form
    464,553.29/696,359.33 = 314,808.73/x
  3. Step 3: Cross multiply
    464,553.29x = 696,359.33 × 314,808.73
  4. Step 4: Simplify right side
    464,553.29x = 219,219,994,166.54
  5. Step 5: Solve for x
    x = 219,219,994,166.54/464,553.29
  6. Step 6: Final answer
    x = 471,894.18

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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.