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Finding the Fourth Proportional to 506,438.56, 758,372.28 and 303,907.33

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Solution

The fourth proportional to 506,438.56, 758,372.28 and 303,907.33 is: 455,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,438.56 : 758,372.28 = 303,907.33 : x
  2. Step 2: Convert to fraction form
    506,438.56/758,372.28 = 303,907.33/x
  3. Step 3: Cross multiply
    506,438.56x = 758,372.28 × 303,907.33
  4. Step 4: Simplify right side
    506,438.56x = 230,474,894,760.81
  5. Step 5: Solve for x
    x = 230,474,894,760.81/506,438.56
  6. Step 6: Final answer
    x = 455,089.55

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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.