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Finding the Fourth Proportional to 509,951.39, 703,733.63 and 283,596.89

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Solution

The fourth proportional to 509,951.39, 703,733.63 and 283,596.89 is: 391,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,951.39 : 703,733.63 = 283,596.89 : x
  2. Step 2: Convert to fraction form
    509,951.39/703,733.63 = 283,596.89/x
  3. Step 3: Cross multiply
    509,951.39x = 703,733.63 × 283,596.89
  4. Step 4: Simplify right side
    509,951.39x = 199,576,663,919.76
  5. Step 5: Solve for x
    x = 199,576,663,919.76/509,951.39
  6. Step 6: Final answer
    x = 391,364.10

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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.