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Finding the Fourth Proportional to 288,037.64, 397,491.36 and 160,705.64

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Solution

The fourth proportional to 288,037.64, 397,491.36 and 160,705.64 is: 221,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,037.64 : 397,491.36 = 160,705.64 : x
  2. Step 2: Convert to fraction form
    288,037.64/397,491.36 = 160,705.64/x
  3. Step 3: Cross multiply
    288,037.64x = 397,491.36 × 160,705.64
  4. Step 4: Simplify right side
    288,037.64x = 63,879,103,403.27
  5. Step 5: Solve for x
    x = 63,879,103,403.27/288,037.64
  6. Step 6: Final answer
    x = 221,773.46

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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.