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Finding the Fourth Proportional to 541,186.77, 746,916.95 and 311,699.92

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Solution

The fourth proportional to 541,186.77, 746,916.95 and 311,699.92 is: 430,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,186.77 : 746,916.95 = 311,699.92 : x
  2. Step 2: Convert to fraction form
    541,186.77/746,916.95 = 311,699.92/x
  3. Step 3: Cross multiply
    541,186.77x = 746,916.95 × 311,699.92
  4. Step 4: Simplify right side
    541,186.77x = 232,813,953,561.64
  5. Step 5: Solve for x
    x = 232,813,953,561.64/541,186.77
  6. Step 6: Final answer
    x = 430,191.51

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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.