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Finding the Fourth Proportional to 333,378, 460,061.64 and 182,475

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Solution

The fourth proportional to 333,378, 460,061.64 and 182,475 is: 251,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,378 : 460,061.64 = 182,475 : x
  2. Step 2: Convert to fraction form
    333,378/460,061.64 = 182,475/x
  3. Step 3: Cross multiply
    333,378x = 460,061.64 × 182,475
  4. Step 4: Simplify right side
    333,378x = 83,949,747,759
  5. Step 5: Solve for x
    x = 83,949,747,759/333,378
  6. Step 6: Final answer
    x = 251,815.50

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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.