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Finding the Fourth Proportional to 521,537.64, 719,697.04 and 320,294.76

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Solution

The fourth proportional to 521,537.64, 719,697.04 and 320,294.76 is: 441,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,537.64 : 719,697.04 = 320,294.76 : x
  2. Step 2: Convert to fraction form
    521,537.64/719,697.04 = 320,294.76/x
  3. Step 3: Cross multiply
    521,537.64x = 719,697.04 × 320,294.76
  4. Step 4: Simplify right side
    521,537.64x = 230,515,190,699.51
  5. Step 5: Solve for x
    x = 230,515,190,699.51/521,537.64
  6. Step 6: Final answer
    x = 441,991.47

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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.