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Finding the Fourth Proportional to 314,134.70, 470,894.85 and 126,896.30

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Solution

The fourth proportional to 314,134.70, 470,894.85 and 126,896.30 is: 190,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,134.70 : 470,894.85 = 126,896.30 : x
  2. Step 2: Convert to fraction form
    314,134.70/470,894.85 = 126,896.30/x
  3. Step 3: Cross multiply
    314,134.70x = 470,894.85 × 126,896.30
  4. Step 4: Simplify right side
    314,134.70x = 59,754,814,154.06
  5. Step 5: Solve for x
    x = 59,754,814,154.06/314,134.70
  6. Step 6: Final answer
    x = 190,220.36

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1.5x scale

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.