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Finding the Fourth Proportional to 380,937.33, 571,424.22 and 314,253.81

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Solution

The fourth proportional to 380,937.33, 571,424.22 and 314,253.81 is: 471,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,937.33 : 571,424.22 = 314,253.81 : x
  2. Step 2: Convert to fraction form
    380,937.33/571,424.22 = 314,253.81/x
  3. Step 3: Cross multiply
    380,937.33x = 571,424.22 × 314,253.81
  4. Step 4: Simplify right side
    380,937.33x = 179,572,238,261.28
  5. Step 5: Solve for x
    x = 179,572,238,261.28/380,937.33
  6. Step 6: Final answer
    x = 471,395.75

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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.