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Finding the Fourth Proportional to 257,592.32, 386,313.60 and 99,785.60

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Solution

The fourth proportional to 257,592.32, 386,313.60 and 99,785.60 is: 149,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,592.32 : 386,313.60 = 99,785.60 : x
  2. Step 2: Convert to fraction form
    257,592.32/386,313.60 = 99,785.60/x
  3. Step 3: Cross multiply
    257,592.32x = 386,313.60 × 99,785.60
  4. Step 4: Simplify right side
    257,592.32x = 38,548,534,364.16
  5. Step 5: Solve for x
    x = 38,548,534,364.16/257,592.32
  6. Step 6: Final answer
    x = 149,649.39

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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.