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Finding the Fourth Proportional to 308,429.10, 462,643.65 and 238,358.70

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Solution

The fourth proportional to 308,429.10, 462,643.65 and 238,358.70 is: 357,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,429.10 : 462,643.65 = 238,358.70 : x
  2. Step 2: Convert to fraction form
    308,429.10/462,643.65 = 238,358.70/x
  3. Step 3: Cross multiply
    308,429.10x = 462,643.65 × 238,358.70
  4. Step 4: Simplify right side
    308,429.10x = 110,275,138,977.26
  5. Step 5: Solve for x
    x = 110,275,138,977.26/308,429.10
  6. Step 6: Final answer
    x = 357,538.05

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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.