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Finding the Fourth Proportional to 233,714.24, 322,525.56 and 126,284.24

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Solution

The fourth proportional to 233,714.24, 322,525.56 and 126,284.24 is: 174,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,714.24 : 322,525.56 = 126,284.24 : x
  2. Step 2: Convert to fraction form
    233,714.24/322,525.56 = 126,284.24/x
  3. Step 3: Cross multiply
    233,714.24x = 322,525.56 × 126,284.24
  4. Step 4: Simplify right side
    233,714.24x = 40,729,895,225.17
  5. Step 5: Solve for x
    x = 40,729,895,225.17/233,714.24
  6. Step 6: Final answer
    x = 174,272.20

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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.