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Finding the Fourth Proportional to 470,899.52, 706,436.16 and 155,378.56

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Solution

The fourth proportional to 470,899.52, 706,436.16 and 155,378.56 is: 233,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,899.52 : 706,436.16 = 155,378.56 : x
  2. Step 2: Convert to fraction form
    470,899.52/706,436.16 = 155,378.56/x
  3. Step 3: Cross multiply
    470,899.52x = 706,436.16 × 155,378.56
  4. Step 4: Simplify right side
    470,899.52x = 109,765,033,272.73
  5. Step 5: Solve for x
    x = 109,765,033,272.73/470,899.52
  6. Step 6: Final answer
    x = 233,096.51

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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.