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Finding the Fourth Proportional to 562,355.32, 842,473.69 and 277,712.81

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Solution

The fourth proportional to 562,355.32, 842,473.69 and 277,712.81 is: 416,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,355.32 : 842,473.69 = 277,712.81 : x
  2. Step 2: Convert to fraction form
    562,355.32/842,473.69 = 277,712.81/x
  3. Step 3: Cross multiply
    562,355.32x = 842,473.69 × 277,712.81
  4. Step 4: Simplify right side
    562,355.32x = 233,965,735,800.97
  5. Step 5: Solve for x
    x = 233,965,735,800.97/562,355.32
  6. Step 6: Final answer
    x = 416,046.10

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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.