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Finding the Fourth Proportional to 543,714.98, 750,305.76 and 302,012.96

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Solution

The fourth proportional to 543,714.98, 750,305.76 and 302,012.96 is: 416,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,714.98 : 750,305.76 = 302,012.96 : x
  2. Step 2: Convert to fraction form
    543,714.98/750,305.76 = 302,012.96/x
  3. Step 3: Cross multiply
    543,714.98x = 750,305.76 × 302,012.96
  4. Step 4: Simplify right side
    543,714.98x = 226,602,059,731.12
  5. Step 5: Solve for x
    x = 226,602,059,731.12/543,714.98
  6. Step 6: Final answer
    x = 416,766.27

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Why These Related Problems?

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