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Finding the Fourth Proportional to 791,715, 1,092,566.70 and 434,019

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Solution

The fourth proportional to 791,715, 1,092,566.70 and 434,019 is: 598,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,715 : 1,092,566.70 = 434,019 : x
  2. Step 2: Convert to fraction form
    791,715/1,092,566.70 = 434,019/x
  3. Step 3: Cross multiply
    791,715x = 1,092,566.70 × 434,019
  4. Step 4: Simplify right side
    791,715x = 474,194,706,567.30
  5. Step 5: Solve for x
    x = 474,194,706,567.30/791,715
  6. Step 6: Final answer
    x = 598,946.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.