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Finding the Fourth Proportional to 497,196.41, 686,110.95 and 303,927.80

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Solution

The fourth proportional to 497,196.41, 686,110.95 and 303,927.80 is: 419,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,196.41 : 686,110.95 = 303,927.80 : x
  2. Step 2: Convert to fraction form
    497,196.41/686,110.95 = 303,927.80/x
  3. Step 3: Cross multiply
    497,196.41x = 686,110.95 × 303,927.80
  4. Step 4: Simplify right side
    497,196.41x = 208,528,188,158.86
  5. Step 5: Solve for x
    x = 208,528,188,158.86/497,196.41
  6. Step 6: Final answer
    x = 419,408.08

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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.