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Finding the Fourth Proportional to 675,106.97, 931,663.85 and 384,712.33

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Solution

The fourth proportional to 675,106.97, 931,663.85 and 384,712.33 is: 530,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,106.97 : 931,663.85 = 384,712.33 : x
  2. Step 2: Convert to fraction form
    675,106.97/931,663.85 = 384,712.33/x
  3. Step 3: Cross multiply
    675,106.97x = 931,663.85 × 384,712.33
  4. Step 4: Simplify right side
    675,106.97x = 358,422,570,510.27
  5. Step 5: Solve for x
    x = 358,422,570,510.27/675,106.97
  6. Step 6: Final answer
    x = 530,912.26

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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.