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Finding the Fourth Proportional to 283,714.58, 391,526.02 and 156,392.30

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Solution

The fourth proportional to 283,714.58, 391,526.02 and 156,392.30 is: 215,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,714.58 : 391,526.02 = 156,392.30 : x
  2. Step 2: Convert to fraction form
    283,714.58/391,526.02 = 156,392.30/x
  3. Step 3: Cross multiply
    283,714.58x = 391,526.02 × 156,392.30
  4. Step 4: Simplify right side
    283,714.58x = 61,231,654,777.65
  5. Step 5: Solve for x
    x = 61,231,654,777.65/283,714.58
  6. Step 6: Final answer
    x = 215,821.32

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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.