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Finding the Fourth Proportional to 469,654.47, 648,125.10 and 254,796.08

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Solution

The fourth proportional to 469,654.47, 648,125.10 and 254,796.08 is: 351,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,654.47 : 648,125.10 = 254,796.08 : x
  2. Step 2: Convert to fraction form
    469,654.47/648,125.10 = 254,796.08/x
  3. Step 3: Cross multiply
    469,654.47x = 648,125.10 × 254,796.08
  4. Step 4: Simplify right side
    469,654.47x = 165,139,731,588.98
  5. Step 5: Solve for x
    x = 165,139,731,588.98/469,654.47
  6. Step 6: Final answer
    x = 351,619.63

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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.