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Finding the Fourth Proportional to 295,252.70, 414,141.10 and 295,252.70

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Solution

The fourth proportional to 295,252.70, 414,141.10 and 295,252.70 is: 414,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,252.70 : 414,141.10 = 295,252.70 : x
  2. Step 2: Convert to fraction form
    295,252.70/414,141.10 = 295,252.70/x
  3. Step 3: Cross multiply
    295,252.70x = 414,141.10 × 295,252.70
  4. Step 4: Simplify right side
    295,252.70x = 122,276,277,955.97
  5. Step 5: Solve for x
    x = 122,276,277,955.97/295,252.70
  6. Step 6: Final answer
    x = 414,141.10

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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.