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Finding the Fourth Proportional to 286,509.73, 429,816.49 and 94,394.42

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Solution

The fourth proportional to 286,509.73, 429,816.49 and 94,394.42 is: 141,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,509.73 : 429,816.49 = 94,394.42 : x
  2. Step 2: Convert to fraction form
    286,509.73/429,816.49 = 94,394.42/x
  3. Step 3: Cross multiply
    286,509.73x = 429,816.49 × 94,394.42
  4. Step 4: Simplify right side
    286,509.73x = 40,572,279,600.32
  5. Step 5: Solve for x
    x = 40,572,279,600.32/286,509.73
  6. Step 6: Final answer
    x = 141,608.73

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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.