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Finding the Fourth Proportional to 471,438.16, 707,087.04 and 155,896.72

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Solution

The fourth proportional to 471,438.16, 707,087.04 and 155,896.72 is: 233,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,438.16 : 707,087.04 = 155,896.72 : x
  2. Step 2: Convert to fraction form
    471,438.16/707,087.04 = 155,896.72/x
  3. Step 3: Cross multiply
    471,438.16x = 707,087.04 × 155,896.72
  4. Step 4: Simplify right side
    471,438.16x = 110,232,550,290.51
  5. Step 5: Solve for x
    x = 110,232,550,290.51/471,438.16
  6. Step 6: Final answer
    x = 233,821.87

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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.