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Finding the Fourth Proportional to 468,330.95, 702,776.64 and 202,091.42

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Solution

The fourth proportional to 468,330.95, 702,776.64 and 202,091.42 is: 303,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,330.95 : 702,776.64 = 202,091.42 : x
  2. Step 2: Convert to fraction form
    468,330.95/702,776.64 = 202,091.42/x
  3. Step 3: Cross multiply
    468,330.95x = 702,776.64 × 202,091.42
  4. Step 4: Simplify right side
    468,330.95x = 142,025,129,120.43
  5. Step 5: Solve for x
    x = 142,025,129,120.43/468,330.95
  6. Step 6: Final answer
    x = 303,258.05

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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.