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Finding the Fourth Proportional to 227,564.10, 319,056.30 and 227,564.10

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Solution

The fourth proportional to 227,564.10, 319,056.30 and 227,564.10 is: 319,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,564.10 : 319,056.30 = 227,564.10 : x
  2. Step 2: Convert to fraction form
    227,564.10/319,056.30 = 227,564.10/x
  3. Step 3: Cross multiply
    227,564.10x = 319,056.30 × 227,564.10
  4. Step 4: Simplify right side
    227,564.10x = 72,605,759,758.83
  5. Step 5: Solve for x
    x = 72,605,759,758.83/227,564.10
  6. Step 6: Final answer
    x = 319,056.30

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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.