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Finding the Fourth Proportional to 827,573.63, 1,142,085.15 and 464,996.34

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Solution

The fourth proportional to 827,573.63, 1,142,085.15 and 464,996.34 is: 641,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,573.63 : 1,142,085.15 = 464,996.34 : x
  2. Step 2: Convert to fraction form
    827,573.63/1,142,085.15 = 464,996.34/x
  3. Step 3: Cross multiply
    827,573.63x = 1,142,085.15 × 464,996.34
  4. Step 4: Simplify right side
    827,573.63x = 531,065,414,718.35
  5. Step 5: Solve for x
    x = 531,065,414,718.35/827,573.63
  6. Step 6: Final answer
    x = 641,713.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.