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Finding the Fourth Proportional to 340,437.44, 469,860.54 and 197,284.52

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Solution

The fourth proportional to 340,437.44, 469,860.54 and 197,284.52 is: 272,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,437.44 : 469,860.54 = 197,284.52 : x
  2. Step 2: Convert to fraction form
    340,437.44/469,860.54 = 197,284.52/x
  3. Step 3: Cross multiply
    340,437.44x = 469,860.54 × 197,284.52
  4. Step 4: Simplify right side
    340,437.44x = 92,696,211,100.84
  5. Step 5: Solve for x
    x = 92,696,211,100.84/340,437.44
  6. Step 6: Final answer
    x = 272,285.60

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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.