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Finding the Fourth Proportional to 505,726.88, 697,923.14 and 290,866.68

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Solution

The fourth proportional to 505,726.88, 697,923.14 and 290,866.68 is: 401,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,726.88 : 697,923.14 = 290,866.68 : x
  2. Step 2: Convert to fraction form
    505,726.88/697,923.14 = 290,866.68/x
  3. Step 3: Cross multiply
    505,726.88x = 697,923.14 × 290,866.68
  4. Step 4: Simplify right side
    505,726.88x = 203,002,585,172.64
  5. Step 5: Solve for x
    x = 203,002,585,172.64/505,726.88
  6. Step 6: Final answer
    x = 401,407.55

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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.