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Finding the Fourth Proportional to 565,031.58, 779,398.14 and 335,433

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Solution

The fourth proportional to 565,031.58, 779,398.14 and 335,433 is: 462,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,031.58 : 779,398.14 = 335,433 : x
  2. Step 2: Convert to fraction form
    565,031.58/779,398.14 = 335,433/x
  3. Step 3: Cross multiply
    565,031.58x = 779,398.14 × 335,433
  4. Step 4: Simplify right side
    565,031.58x = 261,435,856,294.62
  5. Step 5: Solve for x
    x = 261,435,856,294.62/565,031.58
  6. Step 6: Final answer
    x = 462,692.47

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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.