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Finding the Fourth Proportional to 777,085.52, 1,072,411.10 and 432,921.25

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Solution

The fourth proportional to 777,085.52, 1,072,411.10 and 432,921.25 is: 597,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,085.52 : 1,072,411.10 = 432,921.25 : x
  2. Step 2: Convert to fraction form
    777,085.52/1,072,411.10 = 432,921.25/x
  3. Step 3: Cross multiply
    777,085.52x = 1,072,411.10 × 432,921.25
  4. Step 4: Simplify right side
    777,085.52x = 464,269,552,327.15
  5. Step 5: Solve for x
    x = 464,269,552,327.15/777,085.52
  6. Step 6: Final answer
    x = 597,449.76

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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.