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Finding the Fourth Proportional to 730,171.82, 1,007,564.82 and 407,874.98

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Solution

The fourth proportional to 730,171.82, 1,007,564.82 and 407,874.98 is: 562,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,171.82 : 1,007,564.82 = 407,874.98 : x
  2. Step 2: Convert to fraction form
    730,171.82/1,007,564.82 = 407,874.98/x
  3. Step 3: Cross multiply
    730,171.82x = 1,007,564.82 × 407,874.98
  4. Step 4: Simplify right side
    730,171.82x = 410,960,480,806.20
  5. Step 5: Solve for x
    x = 410,960,480,806.20/730,171.82
  6. Step 6: Final answer
    x = 562,827.09

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