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Finding the Fourth Proportional to 523,885.49, 722,968.49 and 317,151.14

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Solution

The fourth proportional to 523,885.49, 722,968.49 and 317,151.14 is: 437,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,885.49 : 722,968.49 = 317,151.14 : x
  2. Step 2: Convert to fraction form
    523,885.49/722,968.49 = 317,151.14/x
  3. Step 3: Cross multiply
    523,885.49x = 722,968.49 × 317,151.14
  4. Step 4: Simplify right side
    523,885.49x = 229,290,280,787.58
  5. Step 5: Solve for x
    x = 229,290,280,787.58/523,885.49
  6. Step 6: Final answer
    x = 437,672.52

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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.