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Finding the Fourth Proportional to 307,308.64, 460,924.08 and 120,451.36

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Solution

The fourth proportional to 307,308.64, 460,924.08 and 120,451.36 is: 180,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,308.64 : 460,924.08 = 120,451.36 : x
  2. Step 2: Convert to fraction form
    307,308.64/460,924.08 = 120,451.36/x
  3. Step 3: Cross multiply
    307,308.64x = 460,924.08 × 120,451.36
  4. Step 4: Simplify right side
    307,308.64x = 55,518,932,292.75
  5. Step 5: Solve for x
    x = 55,518,932,292.75/307,308.64
  6. Step 6: Final answer
    x = 180,661.80

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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.