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Finding the Fourth Proportional to 562,687.94, 776,518.98 and 347,822.48

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Solution

The fourth proportional to 562,687.94, 776,518.98 and 347,822.48 is: 480,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,687.94 : 776,518.98 = 347,822.48 : x
  2. Step 2: Convert to fraction form
    562,687.94/776,518.98 = 347,822.48/x
  3. Step 3: Cross multiply
    562,687.94x = 776,518.98 × 347,822.48
  4. Step 4: Simplify right side
    562,687.94x = 270,090,757,390.67
  5. Step 5: Solve for x
    x = 270,090,757,390.67/562,687.94
  6. Step 6: Final answer
    x = 480,000.97

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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.