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Finding the Fourth Proportional to 330,065.82, 495,426.78 and 152,612.64

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Solution

The fourth proportional to 330,065.82, 495,426.78 and 152,612.64 is: 229,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,065.82 : 495,426.78 = 152,612.64 : x
  2. Step 2: Convert to fraction form
    330,065.82/495,426.78 = 152,612.64/x
  3. Step 3: Cross multiply
    330,065.82x = 495,426.78 × 152,612.64
  4. Step 4: Simplify right side
    330,065.82x = 75,608,388,822.50
  5. Step 5: Solve for x
    x = 75,608,388,822.50/330,065.82
  6. Step 6: Final answer
    x = 229,070.64

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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.