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Finding the Fourth Proportional to 407,715.60, 611,573.40 and 341,777.55

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Solution

The fourth proportional to 407,715.60, 611,573.40 and 341,777.55 is: 512,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,715.60 : 611,573.40 = 341,777.55 : x
  2. Step 2: Convert to fraction form
    407,715.60/611,573.40 = 341,777.55/x
  3. Step 3: Cross multiply
    407,715.60x = 611,573.40 × 341,777.55
  4. Step 4: Simplify right side
    407,715.60x = 209,022,058,297.17
  5. Step 5: Solve for x
    x = 209,022,058,297.17/407,715.60
  6. Step 6: Final answer
    x = 512,666.33

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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.