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Finding the Fourth Proportional to 524,104.40, 784,342.20 and 313,893.20

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Solution

The fourth proportional to 524,104.40, 784,342.20 and 313,893.20 is: 469,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,104.40 : 784,342.20 = 313,893.20 : x
  2. Step 2: Convert to fraction form
    524,104.40/784,342.20 = 313,893.20/x
  3. Step 3: Cross multiply
    524,104.40x = 784,342.20 × 313,893.20
  4. Step 4: Simplify right side
    524,104.40x = 246,199,683,053.04
  5. Step 5: Solve for x
    x = 246,199,683,053.04/524,104.40
  6. Step 6: Final answer
    x = 469,753.13

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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.