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Finding the Fourth Proportional to 466,909.34, 644,326.08 and 285,607.94

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Solution

The fourth proportional to 466,909.34, 644,326.08 and 285,607.94 is: 394,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,909.34 : 644,326.08 = 285,607.94 : x
  2. Step 2: Convert to fraction form
    466,909.34/644,326.08 = 285,607.94/x
  3. Step 3: Cross multiply
    466,909.34x = 644,326.08 × 285,607.94
  4. Step 4: Simplify right side
    466,909.34x = 184,024,644,397.08
  5. Step 5: Solve for x
    x = 184,024,644,397.08/466,909.34
  6. Step 6: Final answer
    x = 394,133.57

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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.