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Finding the Fourth Proportional to 374,707.82, 517,109.16 and 204,941.95

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Solution

The fourth proportional to 374,707.82, 517,109.16 and 204,941.95 is: 282,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,707.82 : 517,109.16 = 204,941.95 : x
  2. Step 2: Convert to fraction form
    374,707.82/517,109.16 = 204,941.95/x
  3. Step 3: Cross multiply
    374,707.82x = 517,109.16 × 204,941.95
  4. Step 4: Simplify right side
    374,707.82x = 105,977,359,089.02
  5. Step 5: Solve for x
    x = 105,977,359,089.02/374,707.82
  6. Step 6: Final answer
    x = 282,826.65

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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.