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Finding the Fourth Proportional to 471,402.02, 707,213.73 and 155,858.96

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Solution

The fourth proportional to 471,402.02, 707,213.73 and 155,858.96 is: 233,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,402.02 : 707,213.73 = 155,858.96 : x
  2. Step 2: Convert to fraction form
    471,402.02/707,213.73 = 155,858.96/x
  3. Step 3: Cross multiply
    471,402.02x = 707,213.73 × 155,858.96
  4. Step 4: Simplify right side
    471,402.02x = 110,225,596,455.52
  5. Step 5: Solve for x
    x = 110,225,596,455.52/471,402.02
  6. Step 6: Final answer
    x = 233,825.04

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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.