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Finding the Fourth Proportional to 712,204.58, 982,683.75 and 421,671.21

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Solution

The fourth proportional to 712,204.58, 982,683.75 and 421,671.21 is: 581,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,204.58 : 982,683.75 = 421,671.21 : x
  2. Step 2: Convert to fraction form
    712,204.58/982,683.75 = 421,671.21/x
  3. Step 3: Cross multiply
    712,204.58x = 982,683.75 × 421,671.21
  4. Step 4: Simplify right side
    712,204.58x = 414,369,443,806.04
  5. Step 5: Solve for x
    x = 414,369,443,806.04/712,204.58
  6. Step 6: Final answer
    x = 581,812.38

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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.