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Finding the Fourth Proportional to 562,098.69, 775,708.45 and 307,449.88

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Solution

The fourth proportional to 562,098.69, 775,708.45 and 307,449.88 is: 424,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,098.69 : 775,708.45 = 307,449.88 : x
  2. Step 2: Convert to fraction form
    562,098.69/775,708.45 = 307,449.88/x
  3. Step 3: Cross multiply
    562,098.69x = 775,708.45 × 307,449.88
  4. Step 4: Simplify right side
    562,098.69x = 238,491,467,159.59
  5. Step 5: Solve for x
    x = 238,491,467,159.59/562,098.69
  6. Step 6: Final answer
    x = 424,287.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.