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Finding the Fourth Proportional to 383,559.28, 575,343.78 and 146,916.16

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Solution

The fourth proportional to 383,559.28, 575,343.78 and 146,916.16 is: 220,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,559.28 : 575,343.78 = 146,916.16 : x
  2. Step 2: Convert to fraction form
    383,559.28/575,343.78 = 146,916.16/x
  3. Step 3: Cross multiply
    383,559.28x = 575,343.78 × 146,916.16
  4. Step 4: Simplify right side
    383,559.28x = 84,527,298,837.48
  5. Step 5: Solve for x
    x = 84,527,298,837.48/383,559.28
  6. Step 6: Final answer
    x = 220,376.10

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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.