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Finding the Fourth Proportional to 460,361.80, 689,376.30 and 367,049.80

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Solution

The fourth proportional to 460,361.80, 689,376.30 and 367,049.80 is: 549,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,361.80 : 689,376.30 = 367,049.80 : x
  2. Step 2: Convert to fraction form
    460,361.80/689,376.30 = 367,049.80/x
  3. Step 3: Cross multiply
    460,361.80x = 689,376.30 × 367,049.80
  4. Step 4: Simplify right side
    460,361.80x = 253,035,433,039.74
  5. Step 5: Solve for x
    x = 253,035,433,039.74/460,361.80
  6. Step 6: Final answer
    x = 549,644.72

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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.