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Finding the Fourth Proportional to 302,033.60, 452,321.76 and 238,633.28

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Solution

The fourth proportional to 302,033.60, 452,321.76 and 238,633.28 is: 357,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,033.60 : 452,321.76 = 238,633.28 : x
  2. Step 2: Convert to fraction form
    302,033.60/452,321.76 = 238,633.28/x
  3. Step 3: Cross multiply
    302,033.60x = 452,321.76 × 238,633.28
  4. Step 4: Simplify right side
    302,033.60x = 107,939,025,204.17
  5. Step 5: Solve for x
    x = 107,939,025,204.17/302,033.60
  6. Step 6: Final answer
    x = 357,374.23

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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.