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Finding the Fourth Proportional to 650,138.52, 974,467.44 and 407,093.16

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Solution

The fourth proportional to 650,138.52, 974,467.44 and 407,093.16 is: 610,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,138.52 : 974,467.44 = 407,093.16 : x
  2. Step 2: Convert to fraction form
    650,138.52/974,467.44 = 407,093.16/x
  3. Step 3: Cross multiply
    650,138.52x = 974,467.44 × 407,093.16
  4. Step 4: Simplify right side
    650,138.52x = 396,699,029,466.71
  5. Step 5: Solve for x
    x = 396,699,029,466.71/650,138.52
  6. Step 6: Final answer
    x = 610,176.17

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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.