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Finding the Fourth Proportional to 565,007.49, 779,365.04 and 335,408.94

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Solution

The fourth proportional to 565,007.49, 779,365.04 and 335,408.94 is: 462,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,007.49 : 779,365.04 = 335,408.94 : x
  2. Step 2: Convert to fraction form
    565,007.49/779,365.04 = 335,408.94/x
  3. Step 3: Cross multiply
    565,007.49x = 779,365.04 × 335,408.94
  4. Step 4: Simplify right side
    565,007.49x = 261,406,000,262.41
  5. Step 5: Solve for x
    x = 261,406,000,262.41/565,007.49
  6. Step 6: Final answer
    x = 462,659.35

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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.