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Finding the Fourth Proportional to 471,280.84, 706,833.45 and 151,438.25

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Solution

The fourth proportional to 471,280.84, 706,833.45 and 151,438.25 is: 227,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,280.84 : 706,833.45 = 151,438.25 : x
  2. Step 2: Convert to fraction form
    471,280.84/706,833.45 = 151,438.25/x
  3. Step 3: Cross multiply
    471,280.84x = 706,833.45 × 151,438.25
  4. Step 4: Simplify right side
    471,280.84x = 107,041,622,476.55
  5. Step 5: Solve for x
    x = 107,041,622,476.55/471,280.84
  6. Step 6: Final answer
    x = 227,129.16

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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.