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Finding the Fourth Proportional to 753,706.12, 1,040,122.64 and 414,174.32

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Solution

The fourth proportional to 753,706.12, 1,040,122.64 and 414,174.32 is: 571,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,706.12 : 1,040,122.64 = 414,174.32 : x
  2. Step 2: Convert to fraction form
    753,706.12/1,040,122.64 = 414,174.32/x
  3. Step 3: Cross multiply
    753,706.12x = 1,040,122.64 × 414,174.32
  4. Step 4: Simplify right side
    753,706.12x = 430,792,087,138.61
  5. Step 5: Solve for x
    x = 430,792,087,138.61/753,706.12
  6. Step 6: Final answer
    x = 571,565.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.