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Finding the Fourth Proportional to 308,053.24, 462,096.30 and 97,707.40

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Solution

The fourth proportional to 308,053.24, 462,096.30 and 97,707.40 is: 146,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,053.24 : 462,096.30 = 97,707.40 : x
  2. Step 2: Convert to fraction form
    308,053.24/462,096.30 = 97,707.40/x
  3. Step 3: Cross multiply
    308,053.24x = 462,096.30 × 97,707.40
  4. Step 4: Simplify right side
    308,053.24x = 45,150,228,022.62
  5. Step 5: Solve for x
    x = 45,150,228,022.62/308,053.24
  6. Step 6: Final answer
    x = 146,566.31

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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.