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Finding the Fourth Proportional to 463,612.34, 695,518.40 and 143,757.76

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Solution

The fourth proportional to 463,612.34, 695,518.40 and 143,757.76 is: 215,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,612.34 : 695,518.40 = 143,757.76 : x
  2. Step 2: Convert to fraction form
    463,612.34/695,518.40 = 143,757.76/x
  3. Step 3: Cross multiply
    463,612.34x = 695,518.40 × 143,757.76
  4. Step 4: Simplify right side
    463,612.34x = 99,986,167,222.78
  5. Step 5: Solve for x
    x = 99,986,167,222.78/463,612.34
  6. Step 6: Final answer
    x = 215,667.61

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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.