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Finding the Fourth Proportional to 447,407.59, 617,449.05 and 256,433.32

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Solution

The fourth proportional to 447,407.59, 617,449.05 and 256,433.32 is: 353,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,407.59 : 617,449.05 = 256,433.32 : x
  2. Step 2: Convert to fraction form
    447,407.59/617,449.05 = 256,433.32/x
  3. Step 3: Cross multiply
    447,407.59x = 617,449.05 × 256,433.32
  4. Step 4: Simplify right side
    447,407.59x = 158,334,509,822.35
  5. Step 5: Solve for x
    x = 158,334,509,822.35/447,407.59
  6. Step 6: Final answer
    x = 353,893.21

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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.