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Finding the Fourth Proportional to 562,091.64, 775,714.86 and 332,780.60

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Solution

The fourth proportional to 562,091.64, 775,714.86 and 332,780.60 is: 459,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,091.64 : 775,714.86 = 332,780.60 : x
  2. Step 2: Convert to fraction form
    562,091.64/775,714.86 = 332,780.60/x
  3. Step 3: Cross multiply
    562,091.64x = 775,714.86 × 332,780.60
  4. Step 4: Simplify right side
    562,091.64x = 258,142,856,539.72
  5. Step 5: Solve for x
    x = 258,142,856,539.72/562,091.64
  6. Step 6: Final answer
    x = 459,254.04

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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.