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Finding the Fourth Proportional to 562,616.36, 776,410.82 and 307,969

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Solution

The fourth proportional to 562,616.36, 776,410.82 and 307,969 is: 424,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,616.36 : 776,410.82 = 307,969 : x
  2. Step 2: Convert to fraction form
    562,616.36/776,410.82 = 307,969/x
  3. Step 3: Cross multiply
    562,616.36x = 776,410.82 × 307,969
  4. Step 4: Simplify right side
    562,616.36x = 239,110,463,824.58
  5. Step 5: Solve for x
    x = 239,110,463,824.58/562,616.36
  6. Step 6: Final answer
    x = 424,997.35

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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.