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Finding the Fourth Proportional to 323,916.80, 485,875.20 and 311,475.20

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Solution

The fourth proportional to 323,916.80, 485,875.20 and 311,475.20 is: 467,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,916.80 : 485,875.20 = 311,475.20 : x
  2. Step 2: Convert to fraction form
    323,916.80/485,875.20 = 311,475.20/x
  3. Step 3: Cross multiply
    323,916.80x = 485,875.20 × 311,475.20
  4. Step 4: Simplify right side
    323,916.80x = 151,338,075,095.04
  5. Step 5: Solve for x
    x = 151,338,075,095.04/323,916.80
  6. Step 6: Final answer
    x = 467,212.80

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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.