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Finding the Fourth Proportional to 748,932, 1,033,529.85 and 409,400.25

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Solution

The fourth proportional to 748,932, 1,033,529.85 and 409,400.25 is: 564,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,932 : 1,033,529.85 = 409,400.25 : x
  2. Step 2: Convert to fraction form
    748,932/1,033,529.85 = 409,400.25/x
  3. Step 3: Cross multiply
    748,932x = 1,033,529.85 × 409,400.25
  4. Step 4: Simplify right side
    748,932x = 423,127,378,972.46
  5. Step 5: Solve for x
    x = 423,127,378,972.46/748,932
  6. Step 6: Final answer
    x = 564,974.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.