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Finding the Fourth Proportional to 523,886.49, 722,969.87 and 317,152.14

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Solution

The fourth proportional to 523,886.49, 722,969.87 and 317,152.14 is: 437,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,886.49 : 722,969.87 = 317,152.14 : x
  2. Step 2: Convert to fraction form
    523,886.49/722,969.87 = 317,152.14/x
  3. Step 3: Cross multiply
    523,886.49x = 722,969.87 × 317,152.14
  4. Step 4: Simplify right side
    523,886.49x = 229,291,441,426.02
  5. Step 5: Solve for x
    x = 229,291,441,426.02/523,886.49
  6. Step 6: Final answer
    x = 437,673.90

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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.