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Finding the Fourth Proportional to 405,339.40, 608,009.10 and 109,851.40

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Solution

The fourth proportional to 405,339.40, 608,009.10 and 109,851.40 is: 164,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,339.40 : 608,009.10 = 109,851.40 : x
  2. Step 2: Convert to fraction form
    405,339.40/608,009.10 = 109,851.40/x
  3. Step 3: Cross multiply
    405,339.40x = 608,009.10 × 109,851.40
  4. Step 4: Simplify right side
    405,339.40x = 66,790,650,847.74
  5. Step 5: Solve for x
    x = 66,790,650,847.74/405,339.40
  6. Step 6: Final answer
    x = 164,777.10

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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.