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Finding the Fourth Proportional to 376,398.47, 564,619.64 and 106,504.02

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Solution

The fourth proportional to 376,398.47, 564,619.64 and 106,504.02 is: 159,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,398.47 : 564,619.64 = 106,504.02 : x
  2. Step 2: Convert to fraction form
    376,398.47/564,619.64 = 106,504.02/x
  3. Step 3: Cross multiply
    376,398.47x = 564,619.64 × 106,504.02
  4. Step 4: Simplify right side
    376,398.47x = 60,134,260,898.43
  5. Step 5: Solve for x
    x = 60,134,260,898.43/376,398.47
  6. Step 6: Final answer
    x = 159,762.23

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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.