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Finding the Fourth Proportional to 463,754.46, 695,731.29 and 143,899.74

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Solution

The fourth proportional to 463,754.46, 695,731.29 and 143,899.74 is: 215,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,754.46 : 695,731.29 = 143,899.74 : x
  2. Step 2: Convert to fraction form
    463,754.46/695,731.29 = 143,899.74/x
  3. Step 3: Cross multiply
    463,754.46x = 695,731.29 × 143,899.74
  4. Step 4: Simplify right side
    463,754.46x = 100,115,551,740.87
  5. Step 5: Solve for x
    x = 100,115,551,740.87/463,754.46
  6. Step 6: Final answer
    x = 215,880.52

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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.