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Finding the Fourth Proportional to 429,971.58, 645,034.92 and 177,114.08

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Solution

The fourth proportional to 429,971.58, 645,034.92 and 177,114.08 is: 265,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,971.58 : 645,034.92 = 177,114.08 : x
  2. Step 2: Convert to fraction form
    429,971.58/645,034.92 = 177,114.08/x
  3. Step 3: Cross multiply
    429,971.58x = 645,034.92 × 177,114.08
  4. Step 4: Simplify right side
    429,971.58x = 114,244,763,198.50
  5. Step 5: Solve for x
    x = 114,244,763,198.50/429,971.58
  6. Step 6: Final answer
    x = 265,703.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.