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Finding the Fourth Proportional to 971,784, 1,340,997.12 and 558,334.08

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Solution

The fourth proportional to 971,784, 1,340,997.12 and 558,334.08 is: 770,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,784 : 1,340,997.12 = 558,334.08 : x
  2. Step 2: Convert to fraction form
    971,784/1,340,997.12 = 558,334.08/x
  3. Step 3: Cross multiply
    971,784x = 1,340,997.12 × 558,334.08
  4. Step 4: Simplify right side
    971,784x = 748,724,393,277.85
  5. Step 5: Solve for x
    x = 748,724,393,277.85/971,784
  6. Step 6: Final answer
    x = 770,463.80

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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.