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Finding the Fourth Proportional to 473,846.28, 653,484.42 and 393,145.98

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Solution

The fourth proportional to 473,846.28, 653,484.42 and 393,145.98 is: 542,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,846.28 : 653,484.42 = 393,145.98 : x
  2. Step 2: Convert to fraction form
    473,846.28/653,484.42 = 393,145.98/x
  3. Step 3: Cross multiply
    473,846.28x = 653,484.42 × 393,145.98
  4. Step 4: Simplify right side
    473,846.28x = 256,914,772,715.63
  5. Step 5: Solve for x
    x = 256,914,772,715.63/473,846.28
  6. Step 6: Final answer
    x = 542,190.12

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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.