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Finding the Fourth Proportional to 471,754.75, 651,015.10 and 267,803.89

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Solution

The fourth proportional to 471,754.75, 651,015.10 and 267,803.89 is: 369,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,754.75 : 651,015.10 = 267,803.89 : x
  2. Step 2: Convert to fraction form
    471,754.75/651,015.10 = 267,803.89/x
  3. Step 3: Cross multiply
    471,754.75x = 651,015.10 × 267,803.89
  4. Step 4: Simplify right side
    471,754.75x = 174,344,376,228.74
  5. Step 5: Solve for x
    x = 174,344,376,228.74/471,754.75
  6. Step 6: Final answer
    x = 369,565.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.