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Finding the Fourth Proportional to 562,578, 776,351.59 and 304,449.24

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Solution

The fourth proportional to 562,578, 776,351.59 and 304,449.24 is: 420,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,578 : 776,351.59 = 304,449.24 : x
  2. Step 2: Convert to fraction form
    562,578/776,351.59 = 304,449.24/x
  3. Step 3: Cross multiply
    562,578x = 776,351.59 × 304,449.24
  4. Step 4: Simplify right side
    562,578x = 236,359,651,548.29
  5. Step 5: Solve for x
    x = 236,359,651,548.29/562,578
  6. Step 6: Final answer
    x = 420,136.68

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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.