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Finding the Fourth Proportional to 471,060.48, 706,591.20 and 190,580.16

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Solution

The fourth proportional to 471,060.48, 706,591.20 and 190,580.16 is: 285,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,060.48 : 706,591.20 = 190,580.16 : x
  2. Step 2: Convert to fraction form
    471,060.48/706,591.20 = 190,580.16/x
  3. Step 3: Cross multiply
    471,060.48x = 706,591.20 × 190,580.16
  4. Step 4: Simplify right side
    471,060.48x = 134,662,263,950.59
  5. Step 5: Solve for x
    x = 134,662,263,950.59/471,060.48
  6. Step 6: Final answer
    x = 285,870.43

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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.