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Finding the Fourth Proportional to 386,599, 533,507.58 and 225,564.76

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Solution

The fourth proportional to 386,599, 533,507.58 and 225,564.76 is: 311,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,599 : 533,507.58 = 225,564.76 : x
  2. Step 2: Convert to fraction form
    386,599/533,507.58 = 225,564.76/x
  3. Step 3: Cross multiply
    386,599x = 533,507.58 × 225,564.76
  4. Step 4: Simplify right side
    386,599x = 120,340,509,240.88
  5. Step 5: Solve for x
    x = 120,340,509,240.88/386,599
  6. Step 6: Final answer
    x = 311,279.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.