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Finding the Fourth Proportional to 346,493.94, 519,697.71 and 97,195.38

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Solution

The fourth proportional to 346,493.94, 519,697.71 and 97,195.38 is: 145,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,493.94 : 519,697.71 = 97,195.38 : x
  2. Step 2: Convert to fraction form
    346,493.94/519,697.71 = 97,195.38/x
  3. Step 3: Cross multiply
    346,493.94x = 519,697.71 × 97,195.38
  4. Step 4: Simplify right side
    346,493.94x = 50,512,216,408.58
  5. Step 5: Solve for x
    x = 50,512,216,408.58/346,493.94
  6. Step 6: Final answer
    x = 145,780.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.