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Finding the Fourth Proportional to 362,330.82, 542,971.35 and 204,222.87

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Solution

The fourth proportional to 362,330.82, 542,971.35 and 204,222.87 is: 306,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,330.82 : 542,971.35 = 204,222.87 : x
  2. Step 2: Convert to fraction form
    362,330.82/542,971.35 = 204,222.87/x
  3. Step 3: Cross multiply
    362,330.82x = 542,971.35 × 204,222.87
  4. Step 4: Simplify right side
    362,330.82x = 110,887,167,424.77
  5. Step 5: Solve for x
    x = 110,887,167,424.77/362,330.82
  6. Step 6: Final answer
    x = 306,038.46

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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.