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Finding the Fourth Proportional to 650,137.16, 974,855.10 and 294,957.38

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Solution

The fourth proportional to 650,137.16, 974,855.10 and 294,957.38 is: 442,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,137.16 : 974,855.10 = 294,957.38 : x
  2. Step 2: Convert to fraction form
    650,137.16/974,855.10 = 294,957.38/x
  3. Step 3: Cross multiply
    650,137.16x = 974,855.10 × 294,957.38
  4. Step 4: Simplify right side
    650,137.16x = 287,540,706,175.64
  5. Step 5: Solve for x
    x = 287,540,706,175.64/650,137.16
  6. Step 6: Final answer
    x = 442,276.99

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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.