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Finding the Fourth Proportional to 409,435.03, 614,152.53 and 159,942.07

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Solution

The fourth proportional to 409,435.03, 614,152.53 and 159,942.07 is: 239,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,435.03 : 614,152.53 = 159,942.07 : x
  2. Step 2: Convert to fraction form
    409,435.03/614,152.53 = 159,942.07/x
  3. Step 3: Cross multiply
    409,435.03x = 614,152.53 × 159,942.07
  4. Step 4: Simplify right side
    409,435.03x = 98,228,826,943.94
  5. Step 5: Solve for x
    x = 98,228,826,943.94/409,435.03
  6. Step 6: Final answer
    x = 239,913.10

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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.