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Finding the Fourth Proportional to 429,290.87, 643,584.56 and 189,234.81

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Solution

The fourth proportional to 429,290.87, 643,584.56 and 189,234.81 is: 283,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,290.87 : 643,584.56 = 189,234.81 : x
  2. Step 2: Convert to fraction form
    429,290.87/643,584.56 = 189,234.81/x
  3. Step 3: Cross multiply
    429,290.87x = 643,584.56 × 189,234.81
  4. Step 4: Simplify right side
    429,290.87x = 121,788,600,984.36
  5. Step 5: Solve for x
    x = 121,788,600,984.36/429,290.87
  6. Step 6: Final answer
    x = 283,697.16

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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.