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Finding the Fourth Proportional to 1,159,599.06, 1,739,517.84 and 401,439.06

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Solution

The fourth proportional to 1,159,599.06, 1,739,517.84 and 401,439.06 is: 602,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,599.06 : 1,739,517.84 = 401,439.06 : x
  2. Step 2: Convert to fraction form
    1,159,599.06/1,739,517.84 = 401,439.06/x
  3. Step 3: Cross multiply
    1,159,599.06x = 1,739,517.84 × 401,439.06
  4. Step 4: Simplify right side
    1,159,599.06x = 698,310,406,542.83
  5. Step 5: Solve for x
    x = 698,310,406,542.83/1,159,599.06
  6. Step 6: Final answer
    x = 602,199.87

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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.