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Finding the Fourth Proportional to 264,835.20, 397,252.80 and 260,169.60

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Solution

The fourth proportional to 264,835.20, 397,252.80 and 260,169.60 is: 390,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,835.20 : 397,252.80 = 260,169.60 : x
  2. Step 2: Convert to fraction form
    264,835.20/397,252.80 = 260,169.60/x
  3. Step 3: Cross multiply
    264,835.20x = 397,252.80 × 260,169.60
  4. Step 4: Simplify right side
    264,835.20x = 103,353,102,074.88
  5. Step 5: Solve for x
    x = 103,353,102,074.88/264,835.20
  6. Step 6: Final answer
    x = 390,254.40

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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.