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Finding the Fourth Proportional to 559,414.66, 771,789.72 and 365,932.81

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Solution

The fourth proportional to 559,414.66, 771,789.72 and 365,932.81 is: 504,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,414.66 : 771,789.72 = 365,932.81 : x
  2. Step 2: Convert to fraction form
    559,414.66/771,789.72 = 365,932.81/x
  3. Step 3: Cross multiply
    559,414.66x = 771,789.72 × 365,932.81
  4. Step 4: Simplify right side
    559,414.66x = 282,423,177,109.77
  5. Step 5: Solve for x
    x = 282,423,177,109.77/559,414.66
  6. Step 6: Final answer
    x = 504,854.81

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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.