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Finding the Fourth Proportional to 471,339.46, 707,119.93 and 155,796.38

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Solution

The fourth proportional to 471,339.46, 707,119.93 and 155,796.38 is: 233,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,339.46 : 707,119.93 = 155,796.38 : x
  2. Step 2: Convert to fraction form
    471,339.46/707,119.93 = 155,796.38/x
  3. Step 3: Cross multiply
    471,339.46x = 707,119.93 × 155,796.38
  4. Step 4: Simplify right side
    471,339.46x = 110,166,721,784.25
  5. Step 5: Solve for x
    x = 110,166,721,784.25/471,339.46
  6. Step 6: Final answer
    x = 233,731.17

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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.