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Finding the Fourth Proportional to 402,898.22, 604,246.84 and 118,532.16

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Solution

The fourth proportional to 402,898.22, 604,246.84 and 118,532.16 is: 177,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,898.22 : 604,246.84 = 118,532.16 : x
  2. Step 2: Convert to fraction form
    402,898.22/604,246.84 = 118,532.16/x
  3. Step 3: Cross multiply
    402,898.22x = 604,246.84 × 118,532.16
  4. Step 4: Simplify right side
    402,898.22x = 71,622,682,822.04
  5. Step 5: Solve for x
    x = 71,622,682,822.04/402,898.22
  6. Step 6: Final answer
    x = 177,768.68

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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.