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Finding the Fourth Proportional to 407,616.40, 611,570.40 and 171,031.60

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Solution

The fourth proportional to 407,616.40, 611,570.40 and 171,031.60 is: 256,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,616.40 : 611,570.40 = 171,031.60 : x
  2. Step 2: Convert to fraction form
    407,616.40/611,570.40 = 171,031.60/x
  3. Step 3: Cross multiply
    407,616.40x = 611,570.40 × 171,031.60
  4. Step 4: Simplify right side
    407,616.40x = 104,597,864,024.64
  5. Step 5: Solve for x
    x = 104,597,864,024.64/407,616.40
  6. Step 6: Final answer
    x = 256,608.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.