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Finding the Fourth Proportional to 340,811.82, 470,322.18 and 197,656.74

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Solution

The fourth proportional to 340,811.82, 470,322.18 and 197,656.74 is: 272,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,811.82 : 470,322.18 = 197,656.74 : x
  2. Step 2: Convert to fraction form
    340,811.82/470,322.18 = 197,656.74/x
  3. Step 3: Cross multiply
    340,811.82x = 470,322.18 × 197,656.74
  4. Step 4: Simplify right side
    340,811.82x = 92,962,348,848.49
  5. Step 5: Solve for x
    x = 92,962,348,848.49/340,811.82
  6. Step 6: Final answer
    x = 272,767.38

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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.