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Finding the Fourth Proportional to 470,662.97, 705,580.40 and 186,552.95

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Solution

The fourth proportional to 470,662.97, 705,580.40 and 186,552.95 is: 279,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,662.97 : 705,580.40 = 186,552.95 : x
  2. Step 2: Convert to fraction form
    470,662.97/705,580.40 = 186,552.95/x
  3. Step 3: Cross multiply
    470,662.97x = 705,580.40 × 186,552.95
  4. Step 4: Simplify right side
    470,662.97x = 131,628,102,385.46
  5. Step 5: Solve for x
    x = 131,628,102,385.46/470,662.97
  6. Step 6: Final answer
    x = 279,665.30

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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.