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Finding the Fourth Proportional to 461,462.80, 692,194.20 and 303,869.20

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Solution

The fourth proportional to 461,462.80, 692,194.20 and 303,869.20 is: 455,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,462.80 : 692,194.20 = 303,869.20 : x
  2. Step 2: Convert to fraction form
    461,462.80/692,194.20 = 303,869.20/x
  3. Step 3: Cross multiply
    461,462.80x = 692,194.20 × 303,869.20
  4. Step 4: Simplify right side
    461,462.80x = 210,336,497,798.64
  5. Step 5: Solve for x
    x = 210,336,497,798.64/461,462.80
  6. Step 6: Final answer
    x = 455,803.80

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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.