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Finding the Fourth Proportional to 354,682.80, 532,024.81 and 284,054.65

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Solution

The fourth proportional to 354,682.80, 532,024.81 and 284,054.65 is: 426,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,682.80 : 532,024.81 = 284,054.65 : x
  2. Step 2: Convert to fraction form
    354,682.80/532,024.81 = 284,054.65/x
  3. Step 3: Cross multiply
    354,682.80x = 532,024.81 × 284,054.65
  4. Step 4: Simplify right side
    354,682.80x = 151,124,119,155.67
  5. Step 5: Solve for x
    x = 151,124,119,155.67/354,682.80
  6. Step 6: Final answer
    x = 426,082.46

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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.