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Finding the Fourth Proportional to 520,402.74, 718,146.42 and 294,043.38

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Solution

The fourth proportional to 520,402.74, 718,146.42 and 294,043.38 is: 405,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,402.74 : 718,146.42 = 294,043.38 : x
  2. Step 2: Convert to fraction form
    520,402.74/718,146.42 = 294,043.38/x
  3. Step 3: Cross multiply
    520,402.74x = 718,146.42 × 294,043.38
  4. Step 4: Simplify right side
    520,402.74x = 211,166,200,671.70
  5. Step 5: Solve for x
    x = 211,166,200,671.70/520,402.74
  6. Step 6: Final answer
    x = 405,774.58

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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.