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Finding the Fourth Proportional to 923,984, 1,275,098 and 500,048

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Solution

The fourth proportional to 923,984, 1,275,098 and 500,048 is: 690,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,984 : 1,275,098 = 500,048 : x
  2. Step 2: Convert to fraction form
    923,984/1,275,098 = 500,048/x
  3. Step 3: Cross multiply
    923,984x = 1,275,098 × 500,048
  4. Step 4: Simplify right side
    923,984x = 637,610,204,704
  5. Step 5: Solve for x
    x = 637,610,204,704/923,984
  6. Step 6: Final answer
    x = 690,066.28

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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.