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Finding the Fourth Proportional to 463,895.32, 695,885.48 and 144,049

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Solution

The fourth proportional to 463,895.32, 695,885.48 and 144,049 is: 216,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,895.32 : 695,885.48 = 144,049 : x
  2. Step 2: Convert to fraction form
    463,895.32/695,885.48 = 144,049/x
  3. Step 3: Cross multiply
    463,895.32x = 695,885.48 × 144,049
  4. Step 4: Simplify right side
    463,895.32x = 100,241,607,508.52
  5. Step 5: Solve for x
    x = 100,241,607,508.52/463,895.32
  6. Step 6: Final answer
    x = 216,086.70

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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.