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Finding the Fourth Proportional to 307,833.40, 462,095.70 and 238,022.20

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Solution

The fourth proportional to 307,833.40, 462,095.70 and 238,022.20 is: 357,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,833.40 : 462,095.70 = 238,022.20 : x
  2. Step 2: Convert to fraction form
    307,833.40/462,095.70 = 238,022.20/x
  3. Step 3: Cross multiply
    307,833.40x = 462,095.70 × 238,022.20
  4. Step 4: Simplify right side
    307,833.40x = 109,989,035,124.54
  5. Step 5: Solve for x
    x = 109,989,035,124.54/307,833.40
  6. Step 6: Final answer
    x = 357,300.52

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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.