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Finding the Fourth Proportional to 419,012.28, 628,518.42 and 344,984.76

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Solution

The fourth proportional to 419,012.28, 628,518.42 and 344,984.76 is: 517,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,012.28 : 628,518.42 = 344,984.76 : x
  2. Step 2: Convert to fraction form
    419,012.28/628,518.42 = 344,984.76/x
  3. Step 3: Cross multiply
    419,012.28x = 628,518.42 × 344,984.76
  4. Step 4: Simplify right side
    419,012.28x = 216,829,276,279.28
  5. Step 5: Solve for x
    x = 216,829,276,279.28/419,012.28
  6. Step 6: Final answer
    x = 517,477.14

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Similar ratio
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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.