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Finding the Fourth Proportional to 563,092.88, 777,083.94 and 342,329.80

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Solution

The fourth proportional to 563,092.88, 777,083.94 and 342,329.80 is: 472,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,092.88 : 777,083.94 = 342,329.80 : x
  2. Step 2: Convert to fraction form
    563,092.88/777,083.94 = 342,329.80/x
  3. Step 3: Cross multiply
    563,092.88x = 777,083.94 × 342,329.80
  4. Step 4: Simplify right side
    563,092.88x = 266,018,989,763.41
  5. Step 5: Solve for x
    x = 266,018,989,763.41/563,092.88
  6. Step 6: Final answer
    x = 472,424.71

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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.