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Finding the Fourth Proportional to 379,332.30, 569,080.65 and 201,813.66

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Solution

The fourth proportional to 379,332.30, 569,080.65 and 201,813.66 is: 302,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,332.30 : 569,080.65 = 201,813.66 : x
  2. Step 2: Convert to fraction form
    379,332.30/569,080.65 = 201,813.66/x
  3. Step 3: Cross multiply
    379,332.30x = 569,080.65 × 201,813.66
  4. Step 4: Simplify right side
    379,332.30x = 114,848,248,811.68
  5. Step 5: Solve for x
    x = 114,848,248,811.68/379,332.30
  6. Step 6: Final answer
    x = 302,764.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.