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Finding the Fourth Proportional to 773,714.61, 1,067,802.89 and 434,184.21

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Solution

The fourth proportional to 773,714.61, 1,067,802.89 and 434,184.21 is: 599,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,714.61 : 1,067,802.89 = 434,184.21 : x
  2. Step 2: Convert to fraction form
    773,714.61/1,067,802.89 = 434,184.21/x
  3. Step 3: Cross multiply
    773,714.61x = 1,067,802.89 × 434,184.21
  4. Step 4: Simplify right side
    773,714.61x = 463,623,152,059.45
  5. Step 5: Solve for x
    x = 463,623,152,059.45/773,714.61
  6. Step 6: Final answer
    x = 599,217.26

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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.