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Finding the Fourth Proportional to 341,244.50, 470,859.09 and 197,971.70

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Solution

The fourth proportional to 341,244.50, 470,859.09 and 197,971.70 is: 273,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,244.50 : 470,859.09 = 197,971.70 : x
  2. Step 2: Convert to fraction form
    341,244.50/470,859.09 = 197,971.70/x
  3. Step 3: Cross multiply
    341,244.50x = 470,859.09 × 197,971.70
  4. Step 4: Simplify right side
    341,244.50x = 93,216,774,507.75
  5. Step 5: Solve for x
    x = 93,216,774,507.75/341,244.50
  6. Step 6: Final answer
    x = 273,167.11

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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.