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Finding the Fourth Proportional to 284,052.74, 425,986.76 and 94,462.11

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Solution

The fourth proportional to 284,052.74, 425,986.76 and 94,462.11 is: 141,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,052.74 : 425,986.76 = 94,462.11 : x
  2. Step 2: Convert to fraction form
    284,052.74/425,986.76 = 94,462.11/x
  3. Step 3: Cross multiply
    284,052.74x = 425,986.76 × 94,462.11
  4. Step 4: Simplify right side
    284,052.74x = 40,239,608,417.82
  5. Step 5: Solve for x
    x = 40,239,608,417.82/284,052.74
  6. Step 6: Final answer
    x = 141,662.46

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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.