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Finding the Fourth Proportional to 559,368.27, 771,951.74 and 304,733.43

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Solution

The fourth proportional to 559,368.27, 771,951.74 and 304,733.43 is: 420,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,368.27 : 771,951.74 = 304,733.43 : x
  2. Step 2: Convert to fraction form
    559,368.27/771,951.74 = 304,733.43/x
  3. Step 3: Cross multiply
    559,368.27x = 771,951.74 × 304,733.43
  4. Step 4: Simplify right side
    559,368.27x = 235,239,500,001.00
  5. Step 5: Solve for x
    x = 235,239,500,001.00/559,368.27
  6. Step 6: Final answer
    x = 420,544.95

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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.