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Finding the Fourth Proportional to 415,734.60, 573,699.78 and 262,855.08

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Solution

The fourth proportional to 415,734.60, 573,699.78 and 262,855.08 is: 362,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,734.60 : 573,699.78 = 262,855.08 : x
  2. Step 2: Convert to fraction form
    415,734.60/573,699.78 = 262,855.08/x
  3. Step 3: Cross multiply
    415,734.60x = 573,699.78 × 262,855.08
  4. Step 4: Simplify right side
    415,734.60x = 150,799,901,567.88
  5. Step 5: Solve for x
    x = 150,799,901,567.88/415,734.60
  6. Step 6: Final answer
    x = 362,731.18

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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.