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Finding the Fourth Proportional to 274,384.72, 411,044.48 and 202,206.66

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Solution

The fourth proportional to 274,384.72, 411,044.48 and 202,206.66 is: 302,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,384.72 : 411,044.48 = 202,206.66 : x
  2. Step 2: Convert to fraction form
    274,384.72/411,044.48 = 202,206.66/x
  3. Step 3: Cross multiply
    274,384.72x = 411,044.48 × 202,206.66
  4. Step 4: Simplify right side
    274,384.72x = 83,115,931,412.24
  5. Step 5: Solve for x
    x = 83,115,931,412.24/274,384.72
  6. Step 6: Final answer
    x = 302,917.49

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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.