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Finding the Fourth Proportional to 351,805.30, 526,714.35 and 273,829.30

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Solution

The fourth proportional to 351,805.30, 526,714.35 and 273,829.30 is: 409,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,805.30 : 526,714.35 = 273,829.30 : x
  2. Step 2: Convert to fraction form
    351,805.30/526,714.35 = 273,829.30/x
  3. Step 3: Cross multiply
    351,805.30x = 526,714.35 × 273,829.30
  4. Step 4: Simplify right side
    351,805.30x = 144,229,821,760.46
  5. Step 5: Solve for x
    x = 144,229,821,760.46/351,805.30
  6. Step 6: Final answer
    x = 409,970.58

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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.