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Finding the Fourth Proportional to 346,466.50, 519,719.46 and 97,167.94

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Solution

The fourth proportional to 346,466.50, 519,719.46 and 97,167.94 is: 145,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,466.50 : 519,719.46 = 97,167.94 : x
  2. Step 2: Convert to fraction form
    346,466.50/519,719.46 = 97,167.94/x
  3. Step 3: Cross multiply
    346,466.50x = 519,719.46 × 97,167.94
  4. Step 4: Simplify right side
    346,466.50x = 50,500,069,306.11
  5. Step 5: Solve for x
    x = 50,500,069,306.11/346,466.50
  6. Step 6: Final answer
    x = 145,757.44

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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.