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Finding the Fourth Proportional to 354,705.30, 530,905.41 and 194,377.23

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Solution

The fourth proportional to 354,705.30, 530,905.41 and 194,377.23 is: 290,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,705.30 : 530,905.41 = 194,377.23 : x
  2. Step 2: Convert to fraction form
    354,705.30/530,905.41 = 194,377.23/x
  3. Step 3: Cross multiply
    354,705.30x = 530,905.41 × 194,377.23
  4. Step 4: Simplify right side
    354,705.30x = 103,195,922,987.81
  5. Step 5: Solve for x
    x = 103,195,922,987.81/354,705.30
  6. Step 6: Final answer
    x = 290,934.26

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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.