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Finding the Fourth Proportional to 294,986.64, 442,431 and 126,534

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Solution

The fourth proportional to 294,986.64, 442,431 and 126,534 is: 189,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,986.64 : 442,431 = 126,534 : x
  2. Step 2: Convert to fraction form
    294,986.64/442,431 = 126,534/x
  3. Step 3: Cross multiply
    294,986.64x = 442,431 × 126,534
  4. Step 4: Simplify right side
    294,986.64x = 55,982,564,154
  5. Step 5: Solve for x
    x = 55,982,564,154/294,986.64
  6. Step 6: Final answer
    x = 189,780.00

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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.