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Finding the Fourth Proportional to 446,510.53, 616,205.93 and 274,436.00

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Solution

The fourth proportional to 446,510.53, 616,205.93 and 274,436.00 is: 378,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,510.53 : 616,205.93 = 274,436.00 : x
  2. Step 2: Convert to fraction form
    446,510.53/616,205.93 = 274,436.00/x
  3. Step 3: Cross multiply
    446,510.53x = 616,205.93 × 274,436.00
  4. Step 4: Simplify right side
    446,510.53x = 169,109,090,006.75
  5. Step 5: Solve for x
    x = 169,109,090,006.75/446,510.53
  6. Step 6: Final answer
    x = 378,734.83

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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.