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Finding the Fourth Proportional to 447,229.95, 617,193.81 and 256,280.25

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Solution

The fourth proportional to 447,229.95, 617,193.81 and 256,280.25 is: 353,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,229.95 : 617,193.81 = 256,280.25 : x
  2. Step 2: Convert to fraction form
    447,229.95/617,193.81 = 256,280.25/x
  3. Step 3: Cross multiply
    447,229.95x = 617,193.81 × 256,280.25
  4. Step 4: Simplify right side
    447,229.95x = 158,174,583,925.25
  5. Step 5: Solve for x
    x = 158,174,583,925.25/447,229.95
  6. Step 6: Final answer
    x = 353,676.19

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Double scale
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1.5x scale

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.