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Finding the Fourth Proportional to 447,400.53, 617,394.56 and 256,281.03

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Solution

The fourth proportional to 447,400.53, 617,394.56 and 256,281.03 is: 353,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,400.53 : 617,394.56 = 256,281.03 : x
  2. Step 2: Convert to fraction form
    447,400.53/617,394.56 = 256,281.03/x
  3. Step 3: Cross multiply
    447,400.53x = 617,394.56 × 256,281.03
  4. Step 4: Simplify right side
    447,400.53x = 158,226,512,471.79
  5. Step 5: Solve for x
    x = 158,226,512,471.79/447,400.53
  6. Step 6: Final answer
    x = 353,657.41

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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.