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Finding the Fourth Proportional to 277,510.20, 416,265.30 and 202,277.40

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Solution

The fourth proportional to 277,510.20, 416,265.30 and 202,277.40 is: 303,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,510.20 : 416,265.30 = 202,277.40 : x
  2. Step 2: Convert to fraction form
    277,510.20/416,265.30 = 202,277.40/x
  3. Step 3: Cross multiply
    277,510.20x = 416,265.30 × 202,277.40
  4. Step 4: Simplify right side
    277,510.20x = 84,201,062,594.22
  5. Step 5: Solve for x
    x = 84,201,062,594.22/277,510.20
  6. Step 6: Final answer
    x = 303,416.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.