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Finding the Fourth Proportional to 518,175.93, 777,263.90 and 202,411.41

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Solution

The fourth proportional to 518,175.93, 777,263.90 and 202,411.41 is: 303,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,175.93 : 777,263.90 = 202,411.41 : x
  2. Step 2: Convert to fraction form
    518,175.93/777,263.90 = 202,411.41/x
  3. Step 3: Cross multiply
    518,175.93x = 777,263.90 × 202,411.41
  4. Step 4: Simplify right side
    518,175.93x = 157,327,079,152.87
  5. Step 5: Solve for x
    x = 157,327,079,152.87/518,175.93
  6. Step 6: Final answer
    x = 303,617.11

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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.