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Finding the Fourth Proportional to 519,328.14, 716,706.27 and 292,968.78

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Solution

The fourth proportional to 519,328.14, 716,706.27 and 292,968.78 is: 404,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,328.14 : 716,706.27 = 292,968.78 : x
  2. Step 2: Convert to fraction form
    519,328.14/716,706.27 = 292,968.78/x
  3. Step 3: Cross multiply
    519,328.14x = 716,706.27 × 292,968.78
  4. Step 4: Simplify right side
    519,328.14x = 209,972,561,540.25
  5. Step 5: Solve for x
    x = 209,972,561,540.25/519,328.14
  6. Step 6: Final answer
    x = 404,315.78

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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.