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Finding the Fourth Proportional to 923,983, 1,275,096.54 and 500,047

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Solution

The fourth proportional to 923,983, 1,275,096.54 and 500,047 is: 690,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,983 : 1,275,096.54 = 500,047 : x
  2. Step 2: Convert to fraction form
    923,983/1,275,096.54 = 500,047/x
  3. Step 3: Cross multiply
    923,983x = 1,275,096.54 × 500,047
  4. Step 4: Simplify right side
    923,983x = 637,608,199,537.38
  5. Step 5: Solve for x
    x = 637,608,199,537.38/923,983
  6. Step 6: Final answer
    x = 690,064.86

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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.