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Finding the Fourth Proportional to 777,342.94, 1,072,820.10 and 433,210.30

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Solution

The fourth proportional to 777,342.94, 1,072,820.10 and 433,210.30 is: 597,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,342.94 : 1,072,820.10 = 433,210.30 : x
  2. Step 2: Convert to fraction form
    777,342.94/1,072,820.10 = 433,210.30/x
  3. Step 3: Cross multiply
    777,342.94x = 1,072,820.10 × 433,210.30
  4. Step 4: Simplify right side
    777,342.94x = 464,756,717,367.03
  5. Step 5: Solve for x
    x = 464,756,717,367.03/777,342.94
  6. Step 6: Final answer
    x = 597,878.61

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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.