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Finding the Fourth Proportional to 431,812.62, 596,142.32 and 303,145.92

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Solution

The fourth proportional to 431,812.62, 596,142.32 and 303,145.92 is: 418,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,812.62 : 596,142.32 = 303,145.92 : x
  2. Step 2: Convert to fraction form
    431,812.62/596,142.32 = 303,145.92/x
  3. Step 3: Cross multiply
    431,812.62x = 596,142.32 × 303,145.92
  4. Step 4: Simplify right side
    431,812.62x = 180,718,110,531.61
  5. Step 5: Solve for x
    x = 180,718,110,531.61/431,812.62
  6. Step 6: Final answer
    x = 418,510.49

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Why These Related Problems?

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