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Finding the Fourth Proportional to 522,453.51, 720,993.96 and 293,061.71

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Solution

The fourth proportional to 522,453.51, 720,993.96 and 293,061.71 is: 404,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,453.51 : 720,993.96 = 293,061.71 : x
  2. Step 2: Convert to fraction form
    522,453.51/720,993.96 = 293,061.71/x
  3. Step 3: Cross multiply
    522,453.51x = 720,993.96 × 293,061.71
  4. Step 4: Simplify right side
    522,453.51x = 211,295,724,619.76
  5. Step 5: Solve for x
    x = 211,295,724,619.76/522,453.51
  6. Step 6: Final answer
    x = 404,429.72

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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.