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Finding the Fourth Proportional to 519,048.31, 716,286.74 and 292,693.87

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Solution

The fourth proportional to 519,048.31, 716,286.74 and 292,693.87 is: 403,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,048.31 : 716,286.74 = 292,693.87 : x
  2. Step 2: Convert to fraction form
    519,048.31/716,286.74 = 292,693.87/x
  3. Step 3: Cross multiply
    519,048.31x = 716,286.74 × 292,693.87
  4. Step 4: Simplify right side
    519,048.31x = 209,652,737,960.28
  5. Step 5: Solve for x
    x = 209,652,737,960.28/519,048.31
  6. Step 6: Final answer
    x = 403,917.58

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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.