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Finding the Fourth Proportional to 340,128.36, 470,024.48 and 255,097.80

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Solution

The fourth proportional to 340,128.36, 470,024.48 and 255,097.80 is: 352,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,128.36 : 470,024.48 = 255,097.80 : x
  2. Step 2: Convert to fraction form
    340,128.36/470,024.48 = 255,097.80/x
  3. Step 3: Cross multiply
    340,128.36x = 470,024.48 × 255,097.80
  4. Step 4: Simplify right side
    340,128.36x = 119,902,210,794.14
  5. Step 5: Solve for x
    x = 119,902,210,794.14/340,128.36
  6. Step 6: Final answer
    x = 352,520.47

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