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Finding the Fourth Proportional to 505,170.38, 697,135.13 and 344,306.45

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Solution

The fourth proportional to 505,170.38, 697,135.13 and 344,306.45 is: 475,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,170.38 : 697,135.13 = 344,306.45 : x
  2. Step 2: Convert to fraction form
    505,170.38/697,135.13 = 344,306.45/x
  3. Step 3: Cross multiply
    505,170.38x = 697,135.13 × 344,306.45
  4. Step 4: Simplify right side
    505,170.38x = 240,028,124,384.19
  5. Step 5: Solve for x
    x = 240,028,124,384.19/505,170.38
  6. Step 6: Final answer
    x = 475,142.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.