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Finding the Fourth Proportional to 308,976.80, 463,465.20 and 176,266.40

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Solution

The fourth proportional to 308,976.80, 463,465.20 and 176,266.40 is: 264,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,976.80 : 463,465.20 = 176,266.40 : x
  2. Step 2: Convert to fraction form
    308,976.80/463,465.20 = 176,266.40/x
  3. Step 3: Cross multiply
    308,976.80x = 463,465.20 × 176,266.40
  4. Step 4: Simplify right side
    308,976.80x = 81,693,342,329.28
  5. Step 5: Solve for x
    x = 81,693,342,329.28/308,976.80
  6. Step 6: Final answer
    x = 264,399.60

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1.5x scale

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.