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Finding the Fourth Proportional to 340,594.74, 470,020.86 and 197,437.91

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Solution

The fourth proportional to 340,594.74, 470,020.86 and 197,437.91 is: 272,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,594.74 : 470,020.86 = 197,437.91 : x
  2. Step 2: Convert to fraction form
    340,594.74/470,020.86 = 197,437.91/x
  3. Step 3: Cross multiply
    340,594.74x = 470,020.86 × 197,437.91
  4. Step 4: Simplify right side
    340,594.74x = 92,799,933,904.70
  5. Step 5: Solve for x
    x = 92,799,933,904.70/340,594.74
  6. Step 6: Final answer
    x = 272,464.38

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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.