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Finding the Fourth Proportional to 470,710.94, 705,652.50 and 186,601.07

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Solution

The fourth proportional to 470,710.94, 705,652.50 and 186,601.07 is: 279,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,710.94 : 705,652.50 = 186,601.07 : x
  2. Step 2: Convert to fraction form
    470,710.94/705,652.50 = 186,601.07/x
  3. Step 3: Cross multiply
    470,710.94x = 705,652.50 × 186,601.07
  4. Step 4: Simplify right side
    470,710.94x = 131,675,507,086.91
  5. Step 5: Solve for x
    x = 131,675,507,086.91/470,710.94
  6. Step 6: Final answer
    x = 279,737.51

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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.