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Finding the Fourth Proportional to 294,414.40, 442,277.70 and 282,458.80

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Solution

The fourth proportional to 294,414.40, 442,277.70 and 282,458.80 is: 424,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,414.40 : 442,277.70 = 282,458.80 : x
  2. Step 2: Convert to fraction form
    294,414.40/442,277.70 = 282,458.80/x
  3. Step 3: Cross multiply
    294,414.40x = 442,277.70 × 282,458.80
  4. Step 4: Simplify right side
    294,414.40x = 124,925,228,408.76
  5. Step 5: Solve for x
    x = 124,925,228,408.76/294,414.40
  6. Step 6: Final answer
    x = 424,317.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.