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Finding the Fourth Proportional to 429,956.25, 645,193.58 and 149,670.33

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Solution

The fourth proportional to 429,956.25, 645,193.58 and 149,670.33 is: 224,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,956.25 : 645,193.58 = 149,670.33 : x
  2. Step 2: Convert to fraction form
    429,956.25/645,193.58 = 149,670.33/x
  3. Step 3: Cross multiply
    429,956.25x = 645,193.58 × 149,670.33
  4. Step 4: Simplify right side
    429,956.25x = 96,566,336,032.48
  5. Step 5: Solve for x
    x = 96,566,336,032.48/429,956.25
  6. Step 6: Final answer
    x = 224,595.73

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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.