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Finding the Fourth Proportional to 227,957.40, 319,840.20 and 227,957.40

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Solution

The fourth proportional to 227,957.40, 319,840.20 and 227,957.40 is: 319,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,957.40 : 319,840.20 = 227,957.40 : x
  2. Step 2: Convert to fraction form
    227,957.40/319,840.20 = 227,957.40/x
  3. Step 3: Cross multiply
    227,957.40x = 319,840.20 × 227,957.40
  4. Step 4: Simplify right side
    227,957.40x = 72,909,940,407.48
  5. Step 5: Solve for x
    x = 72,909,940,407.48/227,957.40
  6. Step 6: Final answer
    x = 319,840.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.