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Finding the Fourth Proportional to 315,147.33, 472,327.29 and 202,527.81

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Solution

The fourth proportional to 315,147.33, 472,327.29 and 202,527.81 is: 303,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,147.33 : 472,327.29 = 202,527.81 : x
  2. Step 2: Convert to fraction form
    315,147.33/472,327.29 = 202,527.81/x
  3. Step 3: Cross multiply
    315,147.33x = 472,327.29 × 202,527.81
  4. Step 4: Simplify right side
    315,147.33x = 95,659,411,646.93
  5. Step 5: Solve for x
    x = 95,659,411,646.93/315,147.33
  6. Step 6: Final answer
    x = 303,538.70

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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.