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Finding the Fourth Proportional to 464,994.38, 697,551.71 and 320,631.88

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Solution

The fourth proportional to 464,994.38, 697,551.71 and 320,631.88 is: 480,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,994.38 : 697,551.71 = 320,631.88 : x
  2. Step 2: Convert to fraction form
    464,994.38/697,551.71 = 320,631.88/x
  3. Step 3: Cross multiply
    464,994.38x = 697,551.71 × 320,631.88
  4. Step 4: Simplify right side
    464,994.38x = 223,657,317,141.31
  5. Step 5: Solve for x
    x = 223,657,317,141.31/464,994.38
  6. Step 6: Final answer
    x = 480,989.29

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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.