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Finding the Fourth Proportional to 374,810.34, 517,250.48 and 205,044.46

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Solution

The fourth proportional to 374,810.34, 517,250.48 and 205,044.46 is: 282,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,810.34 : 517,250.48 = 205,044.46 : x
  2. Step 2: Convert to fraction form
    374,810.34/517,250.48 = 205,044.46/x
  3. Step 3: Cross multiply
    374,810.34x = 517,250.48 × 205,044.46
  4. Step 4: Simplify right side
    374,810.34x = 106,059,345,868.95
  5. Step 5: Solve for x
    x = 106,059,345,868.95/374,810.34
  6. Step 6: Final answer
    x = 282,968.04

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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.