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Finding the Fourth Proportional to 447,409.09, 617,451.12 and 256,434.82

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Solution

The fourth proportional to 447,409.09, 617,451.12 and 256,434.82 is: 353,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,409.09 : 617,451.12 = 256,434.82 : x
  2. Step 2: Convert to fraction form
    447,409.09/617,451.12 = 256,434.82/x
  3. Step 3: Cross multiply
    447,409.09x = 617,451.12 × 256,434.82
  4. Step 4: Simplify right side
    447,409.09x = 158,335,966,816.00
  5. Step 5: Solve for x
    x = 158,335,966,816.00/447,409.09
  6. Step 6: Final answer
    x = 353,895.28

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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.