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Finding the Fourth Proportional to 770,615.10, 1,063,406.07 and 431,017.74

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Solution

The fourth proportional to 770,615.10, 1,063,406.07 and 431,017.74 is: 594,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,615.10 : 1,063,406.07 = 431,017.74 : x
  2. Step 2: Convert to fraction form
    770,615.10/1,063,406.07 = 431,017.74/x
  3. Step 3: Cross multiply
    770,615.10x = 1,063,406.07 × 431,017.74
  4. Step 4: Simplify right side
    770,615.10x = 458,346,880,993.68
  5. Step 5: Solve for x
    x = 458,346,880,993.68/770,615.10
  6. Step 6: Final answer
    x = 594,780.56

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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.