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Finding the Fourth Proportional to 464,692.60, 697,068.06 and 149,142.52

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Solution

The fourth proportional to 464,692.60, 697,068.06 and 149,142.52 is: 223,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,692.60 : 697,068.06 = 149,142.52 : x
  2. Step 2: Convert to fraction form
    464,692.60/697,068.06 = 149,142.52/x
  3. Step 3: Cross multiply
    464,692.60x = 697,068.06 × 149,142.52
  4. Step 4: Simplify right side
    464,692.60x = 103,962,487,079.91
  5. Step 5: Solve for x
    x = 103,962,487,079.91/464,692.60
  6. Step 6: Final answer
    x = 223,723.14

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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.