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Finding the Fourth Proportional to 257,467.60, 386,201.40 and 152,405.20

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Solution

The fourth proportional to 257,467.60, 386,201.40 and 152,405.20 is: 228,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,467.60 : 386,201.40 = 152,405.20 : x
  2. Step 2: Convert to fraction form
    257,467.60/386,201.40 = 152,405.20/x
  3. Step 3: Cross multiply
    257,467.60x = 386,201.40 × 152,405.20
  4. Step 4: Simplify right side
    257,467.60x = 58,859,101,607.28
  5. Step 5: Solve for x
    x = 58,859,101,607.28/257,467.60
  6. Step 6: Final answer
    x = 228,607.80

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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.