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Finding the Fourth Proportional to 405,340.40, 608,010.60 and 109,852.40

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Solution

The fourth proportional to 405,340.40, 608,010.60 and 109,852.40 is: 164,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,340.40 : 608,010.60 = 109,852.40 : x
  2. Step 2: Convert to fraction form
    405,340.40/608,010.60 = 109,852.40/x
  3. Step 3: Cross multiply
    405,340.40x = 608,010.60 × 109,852.40
  4. Step 4: Simplify right side
    405,340.40x = 66,791,423,635.44
  5. Step 5: Solve for x
    x = 66,791,423,635.44/405,340.40
  6. Step 6: Final answer
    x = 164,778.60

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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.