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Finding the Fourth Proportional to 374,142.10, 516,307.71 and 204,376.90

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Solution

The fourth proportional to 374,142.10, 516,307.71 and 204,376.90 is: 282,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,142.10 : 516,307.71 = 204,376.90 : x
  2. Step 2: Convert to fraction form
    374,142.10/516,307.71 = 204,376.90/x
  3. Step 3: Cross multiply
    374,142.10x = 516,307.71 × 204,376.90
  4. Step 4: Simplify right side
    374,142.10x = 105,521,369,215.90
  5. Step 5: Solve for x
    x = 105,521,369,215.90/374,142.10
  6. Step 6: Final answer
    x = 282,035.54

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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.