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Finding the Fourth Proportional to 283,607.40, 425,411.10 and 230,463.30

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Solution

The fourth proportional to 283,607.40, 425,411.10 and 230,463.30 is: 345,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,607.40 : 425,411.10 = 230,463.30 : x
  2. Step 2: Convert to fraction form
    283,607.40/425,411.10 = 230,463.30/x
  3. Step 3: Cross multiply
    283,607.40x = 425,411.10 × 230,463.30
  4. Step 4: Simplify right side
    283,607.40x = 98,041,645,962.63
  5. Step 5: Solve for x
    x = 98,041,645,962.63/283,607.40
  6. Step 6: Final answer
    x = 345,694.95

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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.