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Finding the Fourth Proportional to 447,730.61, 617,872.49 and 256,707.10

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Solution

The fourth proportional to 447,730.61, 617,872.49 and 256,707.10 is: 354,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,730.61 : 617,872.49 = 256,707.10 : x
  2. Step 2: Convert to fraction form
    447,730.61/617,872.49 = 256,707.10/x
  3. Step 3: Cross multiply
    447,730.61x = 617,872.49 × 256,707.10
  4. Step 4: Simplify right side
    447,730.61x = 158,612,254,874.35
  5. Step 5: Solve for x
    x = 158,612,254,874.35/447,730.61
  6. Step 6: Final answer
    x = 354,258.23

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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.