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Finding the Fourth Proportional to 288,038.82, 397,493.32 and 160,714.41

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Solution

The fourth proportional to 288,038.82, 397,493.32 and 160,714.41 is: 221,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,038.82 : 397,493.32 = 160,714.41 : x
  2. Step 2: Convert to fraction form
    288,038.82/397,493.32 = 160,714.41/x
  3. Step 3: Cross multiply
    288,038.82x = 397,493.32 × 160,714.41
  4. Step 4: Simplify right side
    288,038.82x = 63,882,904,402.74
  5. Step 5: Solve for x
    x = 63,882,904,402.74/288,038.82
  6. Step 6: Final answer
    x = 221,785.75

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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.