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Finding the Fourth Proportional to 349,166.42, 523,739.28 and 96,462.08

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Solution

The fourth proportional to 349,166.42, 523,739.28 and 96,462.08 is: 144,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,166.42 : 523,739.28 = 96,462.08 : x
  2. Step 2: Convert to fraction form
    349,166.42/523,739.28 = 96,462.08/x
  3. Step 3: Cross multiply
    349,166.42x = 523,739.28 × 96,462.08
  4. Step 4: Simplify right side
    349,166.42x = 50,520,980,326.50
  5. Step 5: Solve for x
    x = 50,520,980,326.50/349,166.42
  6. Step 6: Final answer
    x = 144,690.26

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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.