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Finding the Fourth Proportional to 427,714.16, 590,205.49 and 255,597.86

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Solution

The fourth proportional to 427,714.16, 590,205.49 and 255,597.86 is: 352,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,714.16 : 590,205.49 = 255,597.86 : x
  2. Step 2: Convert to fraction form
    427,714.16/590,205.49 = 255,597.86/x
  3. Step 3: Cross multiply
    427,714.16x = 590,205.49 × 255,597.86
  4. Step 4: Simplify right side
    427,714.16x = 150,855,261,040.77
  5. Step 5: Solve for x
    x = 150,855,261,040.77/427,714.16
  6. Step 6: Final answer
    x = 352,701.12

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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.