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Finding the Fourth Proportional to 509,083.71, 702,494.55 and 294,237.69

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Solution

The fourth proportional to 509,083.71, 702,494.55 and 294,237.69 is: 406,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,083.71 : 702,494.55 = 294,237.69 : x
  2. Step 2: Convert to fraction form
    509,083.71/702,494.55 = 294,237.69/x
  3. Step 3: Cross multiply
    509,083.71x = 702,494.55 × 294,237.69
  4. Step 4: Simplify right side
    509,083.71x = 206,700,373,629.59
  5. Step 5: Solve for x
    x = 206,700,373,629.59/509,083.71
  6. Step 6: Final answer
    x = 406,024.33

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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.