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Finding the Fourth Proportional to 386,053.60, 578,810.40 and 228,200.80

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Solution

The fourth proportional to 386,053.60, 578,810.40 and 228,200.80 is: 342,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,053.60 : 578,810.40 = 228,200.80 : x
  2. Step 2: Convert to fraction form
    386,053.60/578,810.40 = 228,200.80/x
  3. Step 3: Cross multiply
    386,053.60x = 578,810.40 × 228,200.80
  4. Step 4: Simplify right side
    386,053.60x = 132,084,996,328.32
  5. Step 5: Solve for x
    x = 132,084,996,328.32/386,053.60
  6. Step 6: Final answer
    x = 342,141.60

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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.