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Finding the Fourth Proportional to 464,553.73, 696,359.98 and 314,809.17

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Solution

The fourth proportional to 464,553.73, 696,359.98 and 314,809.17 is: 471,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,553.73 : 696,359.98 = 314,809.17 : x
  2. Step 2: Convert to fraction form
    464,553.73/696,359.98 = 314,809.17/x
  3. Step 3: Cross multiply
    464,553.73x = 696,359.98 × 314,809.17
  4. Step 4: Simplify right side
    464,553.73x = 219,220,507,325.02
  5. Step 5: Solve for x
    x = 219,220,507,325.02/464,553.73
  6. Step 6: Final answer
    x = 471,894.84

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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.