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Finding the Fourth Proportional to 564,335.81, 846,501.41 and 204,422.43

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Solution

The fourth proportional to 564,335.81, 846,501.41 and 204,422.43 is: 306,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,335.81 : 846,501.41 = 204,422.43 : x
  2. Step 2: Convert to fraction form
    564,335.81/846,501.41 = 204,422.43/x
  3. Step 3: Cross multiply
    564,335.81x = 846,501.41 × 204,422.43
  4. Step 4: Simplify right side
    564,335.81x = 173,043,878,341.13
  5. Step 5: Solve for x
    x = 173,043,878,341.13/564,335.81
  6. Step 6: Final answer
    x = 306,632.82

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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.