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Finding the Fourth Proportional to 352,187.28, 528,363.84 and 280,411.65

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Solution

The fourth proportional to 352,187.28, 528,363.84 and 280,411.65 is: 420,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,187.28 : 528,363.84 = 280,411.65 : x
  2. Step 2: Convert to fraction form
    352,187.28/528,363.84 = 280,411.65/x
  3. Step 3: Cross multiply
    352,187.28x = 528,363.84 × 280,411.65
  4. Step 4: Simplify right side
    352,187.28x = 148,159,376,174.74
  5. Step 5: Solve for x
    x = 148,159,376,174.74/352,187.28
  6. Step 6: Final answer
    x = 420,683.50

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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.