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Finding the Fourth Proportional to 702,005.52, 968,767.83 and 396,146.91

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Solution

The fourth proportional to 702,005.52, 968,767.83 and 396,146.91 is: 546,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,005.52 : 968,767.83 = 396,146.91 : x
  2. Step 2: Convert to fraction form
    702,005.52/968,767.83 = 396,146.91/x
  3. Step 3: Cross multiply
    702,005.52x = 968,767.83 × 396,146.91
  4. Step 4: Simplify right side
    702,005.52x = 383,774,382,361.91
  5. Step 5: Solve for x
    x = 383,774,382,361.91/702,005.52
  6. Step 6: Final answer
    x = 546,682.86

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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.