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Finding the Fourth Proportional to 464,692.66, 697,068.15 and 149,142.58

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Solution

The fourth proportional to 464,692.66, 697,068.15 and 149,142.58 is: 223,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,692.66 : 697,068.15 = 149,142.58 : x
  2. Step 2: Convert to fraction form
    464,692.66/697,068.15 = 149,142.58/x
  3. Step 3: Cross multiply
    464,692.66x = 697,068.15 × 149,142.58
  4. Step 4: Simplify right side
    464,692.66x = 103,962,544,628.78
  5. Step 5: Solve for x
    x = 103,962,544,628.78/464,692.66
  6. Step 6: Final answer
    x = 223,723.23

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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.