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Finding the Fourth Proportional to 461,805.80, 692,708.70 and 304,212.20

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Solution

The fourth proportional to 461,805.80, 692,708.70 and 304,212.20 is: 456,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,805.80 : 692,708.70 = 304,212.20 : x
  2. Step 2: Convert to fraction form
    461,805.80/692,708.70 = 304,212.20/x
  3. Step 3: Cross multiply
    461,805.80x = 692,708.70 × 304,212.20
  4. Step 4: Simplify right side
    461,805.80x = 210,730,437,586.14
  5. Step 5: Solve for x
    x = 210,730,437,586.14/461,805.80
  6. Step 6: Final answer
    x = 456,318.30

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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.