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Finding the Fourth Proportional to 400,777.53, 553,447.65 and 257,785.80

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Solution

The fourth proportional to 400,777.53, 553,447.65 and 257,785.80 is: 355,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,777.53 : 553,447.65 = 257,785.80 : x
  2. Step 2: Convert to fraction form
    400,777.53/553,447.65 = 257,785.80/x
  3. Step 3: Cross multiply
    400,777.53x = 553,447.65 × 257,785.80
  4. Step 4: Simplify right side
    400,777.53x = 142,670,945,213.37
  5. Step 5: Solve for x
    x = 142,670,945,213.37/400,777.53
  6. Step 6: Final answer
    x = 355,985.39

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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.