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Finding the Fourth Proportional to 519,395.76, 716,766.84 and 293,062.32

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Solution

The fourth proportional to 519,395.76, 716,766.84 and 293,062.32 is: 404,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,395.76 : 716,766.84 = 293,062.32 : x
  2. Step 2: Convert to fraction form
    519,395.76/716,766.84 = 293,062.32/x
  3. Step 3: Cross multiply
    519,395.76x = 716,766.84 × 293,062.32
  4. Step 4: Simplify right side
    519,395.76x = 210,057,353,029.47
  5. Step 5: Solve for x
    x = 210,057,353,029.47/519,395.76
  6. Step 6: Final answer
    x = 404,426.39

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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.