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Finding the Fourth Proportional to 357,670.90, 536,017.92 and 180,297.91

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Solution

The fourth proportional to 357,670.90, 536,017.92 and 180,297.91 is: 270,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,670.90 : 536,017.92 = 180,297.91 : x
  2. Step 2: Convert to fraction form
    357,670.90/536,017.92 = 180,297.91/x
  3. Step 3: Cross multiply
    357,670.90x = 536,017.92 × 180,297.91
  4. Step 4: Simplify right side
    357,670.90x = 96,642,910,698.55
  5. Step 5: Solve for x
    x = 96,642,910,698.55/357,670.90
  6. Step 6: Final answer
    x = 270,200.65

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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.