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Finding the Fourth Proportional to 283,714.88, 391,526.60 and 156,393.28

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Solution

The fourth proportional to 283,714.88, 391,526.60 and 156,393.28 is: 215,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,714.88 : 391,526.60 = 156,393.28 : x
  2. Step 2: Convert to fraction form
    283,714.88/391,526.60 = 156,393.28/x
  3. Step 3: Cross multiply
    283,714.88x = 391,526.60 × 156,393.28
  4. Step 4: Simplify right side
    283,714.88x = 61,232,129,181.25
  5. Step 5: Solve for x
    x = 61,232,129,181.25/283,714.88
  6. Step 6: Final answer
    x = 215,822.76

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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.