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Finding the Fourth Proportional to 470,717.32, 706,059.57 and 150,864.52

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Solution

The fourth proportional to 470,717.32, 706,059.57 and 150,864.52 is: 226,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,717.32 : 706,059.57 = 150,864.52 : x
  2. Step 2: Convert to fraction form
    470,717.32/706,059.57 = 150,864.52/x
  3. Step 3: Cross multiply
    470,717.32x = 706,059.57 × 150,864.52
  4. Step 4: Simplify right side
    470,717.32x = 106,519,338,119.46
  5. Step 5: Solve for x
    x = 106,519,338,119.46/470,717.32
  6. Step 6: Final answer
    x = 226,291.52

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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.