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Finding the Fourth Proportional to 464,200.40, 696,203.40 and 227,712.80

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Solution

The fourth proportional to 464,200.40, 696,203.40 and 227,712.80 is: 341,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,200.40 : 696,203.40 = 227,712.80 : x
  2. Step 2: Convert to fraction form
    464,200.40/696,203.40 = 227,712.80/x
  3. Step 3: Cross multiply
    464,200.40x = 696,203.40 × 227,712.80
  4. Step 4: Simplify right side
    464,200.40x = 158,534,425,583.52
  5. Step 5: Solve for x
    x = 158,534,425,583.52/464,200.40
  6. Step 6: Final answer
    x = 341,521.52

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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.