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Finding the Fourth Proportional to 340,509.14, 469,884.48 and 195,307.46

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Solution

The fourth proportional to 340,509.14, 469,884.48 and 195,307.46 is: 269,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,509.14 : 469,884.48 = 195,307.46 : x
  2. Step 2: Convert to fraction form
    340,509.14/469,884.48 = 195,307.46/x
  3. Step 3: Cross multiply
    340,509.14x = 469,884.48 × 195,307.46
  4. Step 4: Simplify right side
    340,509.14x = 91,771,944,282.22
  5. Step 5: Solve for x
    x = 91,771,944,282.22/340,509.14
  6. Step 6: Final answer
    x = 269,513.89

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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.