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Finding the Fourth Proportional to 462,419.28, 692,535.42 and 394,184.88

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Solution

The fourth proportional to 462,419.28, 692,535.42 and 394,184.88 is: 590,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,419.28 : 692,535.42 = 394,184.88 : x
  2. Step 2: Convert to fraction form
    462,419.28/692,535.42 = 394,184.88/x
  3. Step 3: Cross multiply
    462,419.28x = 692,535.42 × 394,184.88
  4. Step 4: Simplify right side
    462,419.28x = 272,986,991,428.45
  5. Step 5: Solve for x
    x = 272,986,991,428.45/462,419.28
  6. Step 6: Final answer
    x = 590,345.18

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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.