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Finding the Fourth Proportional to 312,148.80, 468,223.20 and 299,901.60

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Solution

The fourth proportional to 312,148.80, 468,223.20 and 299,901.60 is: 449,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,148.80 : 468,223.20 = 299,901.60 : x
  2. Step 2: Convert to fraction form
    312,148.80/468,223.20 = 299,901.60/x
  3. Step 3: Cross multiply
    312,148.80x = 468,223.20 × 299,901.60
  4. Step 4: Simplify right side
    312,148.80x = 140,420,886,837.12
  5. Step 5: Solve for x
    x = 140,420,886,837.12/312,148.80
  6. Step 6: Final answer
    x = 449,852.40

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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.