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Finding the Fourth Proportional to 513,233.91, 769,893.93 and 189,110.25

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Solution

The fourth proportional to 513,233.91, 769,893.93 and 189,110.25 is: 283,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,233.91 : 769,893.93 = 189,110.25 : x
  2. Step 2: Convert to fraction form
    513,233.91/769,893.93 = 189,110.25/x
  3. Step 3: Cross multiply
    513,233.91x = 769,893.93 × 189,110.25
  4. Step 4: Simplify right side
    513,233.91x = 145,594,833,575.78
  5. Step 5: Solve for x
    x = 145,594,833,575.78/513,233.91
  6. Step 6: Final answer
    x = 283,681.24

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1.5x scale

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.