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Finding the Fourth Proportional to 255,390.40, 382,502.40 and 150,414.40

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Solution

The fourth proportional to 255,390.40, 382,502.40 and 150,414.40 is: 225,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,390.40 : 382,502.40 = 150,414.40 : x
  2. Step 2: Convert to fraction form
    255,390.40/382,502.40 = 150,414.40/x
  3. Step 3: Cross multiply
    255,390.40x = 382,502.40 × 150,414.40
  4. Step 4: Simplify right side
    255,390.40x = 57,533,868,994.56
  5. Step 5: Solve for x
    x = 57,533,868,994.56/255,390.40
  6. Step 6: Final answer
    x = 225,278.12

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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.