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Finding the Fourth Proportional to 308,239, 462,358.50 and 86,623

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Solution

The fourth proportional to 308,239, 462,358.50 and 86,623 is: 129,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,239 : 462,358.50 = 86,623 : x
  2. Step 2: Convert to fraction form
    308,239/462,358.50 = 86,623/x
  3. Step 3: Cross multiply
    308,239x = 462,358.50 × 86,623
  4. Step 4: Simplify right side
    308,239x = 40,050,880,345.50
  5. Step 5: Solve for x
    x = 40,050,880,345.50/308,239
  6. Step 6: Final answer
    x = 129,934.50

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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.