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Finding the Fourth Proportional to 346,683.36, 519,599.70 and 197,049

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Solution

The fourth proportional to 346,683.36, 519,599.70 and 197,049 is: 295,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,683.36 : 519,599.70 = 197,049 : x
  2. Step 2: Convert to fraction form
    346,683.36/519,599.70 = 197,049/x
  3. Step 3: Cross multiply
    346,683.36x = 519,599.70 × 197,049
  4. Step 4: Simplify right side
    346,683.36x = 102,386,601,285.30
  5. Step 5: Solve for x
    x = 102,386,601,285.30/346,683.36
  6. Step 6: Final answer
    x = 295,331.74

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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.