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Finding the Fourth Proportional to 364,023.10, 546,034.65 and 325,531.90

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Solution

The fourth proportional to 364,023.10, 546,034.65 and 325,531.90 is: 488,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,023.10 : 546,034.65 = 325,531.90 : x
  2. Step 2: Convert to fraction form
    364,023.10/546,034.65 = 325,531.90/x
  3. Step 3: Cross multiply
    364,023.10x = 546,034.65 × 325,531.90
  4. Step 4: Simplify right side
    364,023.10x = 177,751,697,080.34
  5. Step 5: Solve for x
    x = 177,751,697,080.34/364,023.10
  6. Step 6: Final answer
    x = 488,297.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.