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Finding the Fourth Proportional to 346,586.98, 478,236.10 and 195,680.74

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Solution

The fourth proportional to 346,586.98, 478,236.10 and 195,680.74 is: 270,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,586.98 : 478,236.10 = 195,680.74 : x
  2. Step 2: Convert to fraction form
    346,586.98/478,236.10 = 195,680.74/x
  3. Step 3: Cross multiply
    346,586.98x = 478,236.10 × 195,680.74
  4. Step 4: Simplify right side
    346,586.98x = 93,581,593,942.71
  5. Step 5: Solve for x
    x = 93,581,593,942.71/346,586.98
  6. Step 6: Final answer
    x = 270,008.97

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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.