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Finding the Fourth Proportional to 519,593.49, 778,807.26 and 340,024.41

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Solution

The fourth proportional to 519,593.49, 778,807.26 and 340,024.41 is: 509,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,593.49 : 778,807.26 = 340,024.41 : x
  2. Step 2: Convert to fraction form
    519,593.49/778,807.26 = 340,024.41/x
  3. Step 3: Cross multiply
    519,593.49x = 778,807.26 × 340,024.41
  4. Step 4: Simplify right side
    519,593.49x = 264,813,479,085.22
  5. Step 5: Solve for x
    x = 264,813,479,085.22/519,593.49
  6. Step 6: Final answer
    x = 509,655.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.