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Finding the Fourth Proportional to 831,705.66, 1,147,752.45 and 469,128.40

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Solution

The fourth proportional to 831,705.66, 1,147,752.45 and 469,128.40 is: 647,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,705.66 : 1,147,752.45 = 469,128.40 : x
  2. Step 2: Convert to fraction form
    831,705.66/1,147,752.45 = 469,128.40/x
  3. Step 3: Cross multiply
    831,705.66x = 1,147,752.45 × 469,128.40
  4. Step 4: Simplify right side
    831,705.66x = 538,443,267,595.20
  5. Step 5: Solve for x
    x = 538,443,267,595.20/831,705.66
  6. Step 6: Final answer
    x = 647,396.42

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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.