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Finding the Fourth Proportional to 471,335.77, 707,114.36 and 155,792.64

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Solution

The fourth proportional to 471,335.77, 707,114.36 and 155,792.64 is: 233,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,335.77 : 707,114.36 = 155,792.64 : x
  2. Step 2: Convert to fraction form
    471,335.77/707,114.36 = 155,792.64/x
  3. Step 3: Cross multiply
    471,335.77x = 707,114.36 × 155,792.64
  4. Step 4: Simplify right side
    471,335.77x = 110,163,212,926.31
  5. Step 5: Solve for x
    x = 110,163,212,926.31/471,335.77
  6. Step 6: Final answer
    x = 233,725.55

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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.