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Finding the Fourth Proportional to 471,077.76, 706,466.88 and 155,475.84

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Solution

The fourth proportional to 471,077.76, 706,466.88 and 155,475.84 is: 233,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,077.76 : 706,466.88 = 155,475.84 : x
  2. Step 2: Convert to fraction form
    471,077.76/706,466.88 = 155,475.84/x
  3. Step 3: Cross multiply
    471,077.76x = 706,466.88 × 155,475.84
  4. Step 4: Simplify right side
    471,077.76x = 109,838,531,600.18
  5. Step 5: Solve for x
    x = 109,838,531,600.18/471,077.76
  6. Step 6: Final answer
    x = 233,164.33

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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.