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Finding the Fourth Proportional to 831,354.13, 1,147,171.21 and 468,756.39

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Solution

The fourth proportional to 831,354.13, 1,147,171.21 and 468,756.39 is: 646,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,354.13 : 1,147,171.21 = 468,756.39 : x
  2. Step 2: Convert to fraction form
    831,354.13/1,147,171.21 = 468,756.39/x
  3. Step 3: Cross multiply
    831,354.13x = 1,147,171.21 × 468,756.39
  4. Step 4: Simplify right side
    831,354.13x = 537,743,835,111.53
  5. Step 5: Solve for x
    x = 537,743,835,111.53/831,354.13
  6. Step 6: Final answer
    x = 646,828.85

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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.