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Finding the Fourth Proportional to 386,051.60, 578,807.40 and 228,198.80

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Solution

The fourth proportional to 386,051.60, 578,807.40 and 228,198.80 is: 342,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,051.60 : 578,807.40 = 228,198.80 : x
  2. Step 2: Convert to fraction form
    386,051.60/578,807.40 = 228,198.80/x
  3. Step 3: Cross multiply
    386,051.60x = 578,807.40 × 228,198.80
  4. Step 4: Simplify right side
    386,051.60x = 132,083,154,111.12
  5. Step 5: Solve for x
    x = 132,083,154,111.12/386,051.60
  6. Step 6: Final answer
    x = 342,138.60

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Why These Related Problems?

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