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Finding the Fourth Proportional to 564,459.66, 846,245.61 and 386,427.06

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Solution

The fourth proportional to 564,459.66, 846,245.61 and 386,427.06 is: 579,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,459.66 : 846,245.61 = 386,427.06 : x
  2. Step 2: Convert to fraction form
    564,459.66/846,245.61 = 386,427.06/x
  3. Step 3: Cross multiply
    564,459.66x = 846,245.61 × 386,427.06
  4. Step 4: Simplify right side
    564,459.66x = 327,012,203,110.21
  5. Step 5: Solve for x
    x = 327,012,203,110.21/564,459.66
  6. Step 6: Final answer
    x = 579,336.71

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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.