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Finding the Fourth Proportional to 523,216, 722,294 and 351,072.32

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Solution

The fourth proportional to 523,216, 722,294 and 351,072.32 is: 484,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,216 : 722,294 = 351,072.32 : x
  2. Step 2: Convert to fraction form
    523,216/722,294 = 351,072.32/x
  3. Step 3: Cross multiply
    523,216x = 722,294 × 351,072.32
  4. Step 4: Simplify right side
    523,216x = 253,577,430,302.08
  5. Step 5: Solve for x
    x = 253,577,430,302.08/523,216
  6. Step 6: Final answer
    x = 484,651.52

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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.