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Finding the Fourth Proportional to 374,805.40, 517,235.53 and 205,035.88

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Solution

The fourth proportional to 374,805.40, 517,235.53 and 205,035.88 is: 282,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,805.40 : 517,235.53 = 205,035.88 : x
  2. Step 2: Convert to fraction form
    374,805.40/517,235.53 = 205,035.88/x
  3. Step 3: Cross multiply
    374,805.40x = 517,235.53 × 205,035.88
  4. Step 4: Simplify right side
    374,805.40x = 106,051,839,474.64
  5. Step 5: Solve for x
    x = 106,051,839,474.64/374,805.40
  6. Step 6: Final answer
    x = 282,951.74

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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.