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Finding the Fourth Proportional to 310,502.07, 465,933.83 and 130,574.48

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Solution

The fourth proportional to 310,502.07, 465,933.83 and 130,574.48 is: 195,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,502.07 : 465,933.83 = 130,574.48 : x
  2. Step 2: Convert to fraction form
    310,502.07/465,933.83 = 130,574.48/x
  3. Step 3: Cross multiply
    310,502.07x = 465,933.83 × 130,574.48
  4. Step 4: Simplify right side
    310,502.07x = 60,839,064,584.12
  5. Step 5: Solve for x
    x = 60,839,064,584.12/310,502.07
  6. Step 6: Final answer
    x = 195,937.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.