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Finding the Fourth Proportional to 822,032, 1,233,048 and 231,056

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Solution

The fourth proportional to 822,032, 1,233,048 and 231,056 is: 346,584

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,032 : 1,233,048 = 231,056 : x
  2. Step 2: Convert to fraction form
    822,032/1,233,048 = 231,056/x
  3. Step 3: Cross multiply
    822,032x = 1,233,048 × 231,056
  4. Step 4: Simplify right side
    822,032x = 284,903,138,688
  5. Step 5: Solve for x
    x = 284,903,138,688/822,032
  6. Step 6: Final answer
    x = 346,584

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.