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Finding the Fourth Proportional to 704,214.68, 971,940.48 and 417,892.64

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Solution

The fourth proportional to 704,214.68, 971,940.48 and 417,892.64 is: 576,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,214.68 : 971,940.48 = 417,892.64 : x
  2. Step 2: Convert to fraction form
    704,214.68/971,940.48 = 417,892.64/x
  3. Step 3: Cross multiply
    704,214.68x = 971,940.48 × 417,892.64
  4. Step 4: Simplify right side
    704,214.68x = 406,166,773,110.07
  5. Step 5: Solve for x
    x = 406,166,773,110.07/704,214.68
  6. Step 6: Final answer
    x = 576,765.56

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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.