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Finding the Fourth Proportional to 340,454.70, 470,028.69 and 302,619.60

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Solution

The fourth proportional to 340,454.70, 470,028.69 and 302,619.60 is: 417,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,454.70 : 470,028.69 = 302,619.60 : x
  2. Step 2: Convert to fraction form
    340,454.70/470,028.69 = 302,619.60/x
  3. Step 3: Cross multiply
    340,454.70x = 470,028.69 × 302,619.60
  4. Step 4: Simplify right side
    340,454.70x = 142,239,894,156.32
  5. Step 5: Solve for x
    x = 142,239,894,156.32/340,454.70
  6. Step 6: Final answer
    x = 417,793.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.