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Finding the Fourth Proportional to 362,549.42, 500,452.94 and 311,356.58

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Solution

The fourth proportional to 362,549.42, 500,452.94 and 311,356.58 is: 429,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,549.42 : 500,452.94 = 311,356.58 : x
  2. Step 2: Convert to fraction form
    362,549.42/500,452.94 = 311,356.58/x
  3. Step 3: Cross multiply
    362,549.42x = 500,452.94 × 311,356.58
  4. Step 4: Simplify right side
    362,549.42x = 155,819,315,849.35
  5. Step 5: Solve for x
    x = 155,819,315,849.35/362,549.42
  6. Step 6: Final answer
    x = 429,787.80

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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.