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Finding the Fourth Proportional to 777,342.93, 1,072,820.10 and 433,210.29

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Solution

The fourth proportional to 777,342.93, 1,072,820.10 and 433,210.29 is: 597,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,342.93 : 1,072,820.10 = 433,210.29 : x
  2. Step 2: Convert to fraction form
    777,342.93/1,072,820.10 = 433,210.29/x
  3. Step 3: Cross multiply
    777,342.93x = 1,072,820.10 × 433,210.29
  4. Step 4: Simplify right side
    777,342.93x = 464,756,706,638.83
  5. Step 5: Solve for x
    x = 464,756,706,638.83/777,342.93
  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.