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Finding the Fourth Proportional to 463,877.23, 695,924.73 and 144,012.76

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Solution

The fourth proportional to 463,877.23, 695,924.73 and 144,012.76 is: 216,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,877.23 : 695,924.73 = 144,012.76 : x
  2. Step 2: Convert to fraction form
    463,877.23/695,924.73 = 144,012.76/x
  3. Step 3: Cross multiply
    463,877.23x = 695,924.73 × 144,012.76
  4. Step 4: Simplify right side
    463,877.23x = 100,222,037,639.93
  5. Step 5: Solve for x
    x = 100,222,037,639.93/463,877.23
  6. Step 6: Final answer
    x = 216,052.94

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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.