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Finding the Fourth Proportional to 315,144.33, 472,322.79 and 202,524.81

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Solution

The fourth proportional to 315,144.33, 472,322.79 and 202,524.81 is: 303,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,144.33 : 472,322.79 = 202,524.81 : x
  2. Step 2: Convert to fraction form
    315,144.33/472,322.79 = 202,524.81/x
  3. Step 3: Cross multiply
    315,144.33x = 472,322.79 × 202,524.81
  4. Step 4: Simplify right side
    315,144.33x = 95,657,083,303.42
  5. Step 5: Solve for x
    x = 95,657,083,303.42/315,144.33
  6. Step 6: Final answer
    x = 303,534.20

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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.