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Finding the Fourth Proportional to 503,107.02, 694,303.20 and 273,681

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Solution

The fourth proportional to 503,107.02, 694,303.20 and 273,681 is: 377,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,107.02 : 694,303.20 = 273,681 : x
  2. Step 2: Convert to fraction form
    503,107.02/694,303.20 = 273,681/x
  3. Step 3: Cross multiply
    503,107.02x = 694,303.20 × 273,681
  4. Step 4: Simplify right side
    503,107.02x = 190,017,594,079.20
  5. Step 5: Solve for x
    x = 190,017,594,079.20/503,107.02
  6. Step 6: Final answer
    x = 377,688.22

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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.