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Finding the Fourth Proportional to 570,732.30, 787,610.25 and 316,083.24

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Solution

The fourth proportional to 570,732.30, 787,610.25 and 316,083.24 is: 436,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,732.30 : 787,610.25 = 316,083.24 : x
  2. Step 2: Convert to fraction form
    570,732.30/787,610.25 = 316,083.24/x
  3. Step 3: Cross multiply
    570,732.30x = 787,610.25 × 316,083.24
  4. Step 4: Simplify right side
    570,732.30x = 248,950,399,677.21
  5. Step 5: Solve for x
    x = 248,950,399,677.21/570,732.30
  6. Step 6: Final answer
    x = 436,194.69

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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.