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Finding the Fourth Proportional to 564,388.84, 846,580.88 and 204,475.31

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Solution

The fourth proportional to 564,388.84, 846,580.88 and 204,475.31 is: 306,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,388.84 : 846,580.88 = 204,475.31 : x
  2. Step 2: Convert to fraction form
    564,388.84/846,580.88 = 204,475.31/x
  3. Step 3: Cross multiply
    564,388.84x = 846,580.88 × 204,475.31
  4. Step 4: Simplify right side
    564,388.84x = 173,104,887,878.07
  5. Step 5: Solve for x
    x = 173,104,887,878.07/564,388.84
  6. Step 6: Final answer
    x = 306,712.10

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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.