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Finding the Fourth Proportional to 703,984.84, 971,506.56 and 413,608.57

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Solution

The fourth proportional to 703,984.84, 971,506.56 and 413,608.57 is: 570,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,984.84 : 971,506.56 = 413,608.57 : x
  2. Step 2: Convert to fraction form
    703,984.84/971,506.56 = 413,608.57/x
  3. Step 3: Cross multiply
    703,984.84x = 971,506.56 × 413,608.57
  4. Step 4: Simplify right side
    703,984.84x = 401,823,439,027.22
  5. Step 5: Solve for x
    x = 401,823,439,027.22/703,984.84
  6. Step 6: Final answer
    x = 570,784.22

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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.