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Finding the Fourth Proportional to 311,683.20, 430,122.90 and 177,547.20

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Solution

The fourth proportional to 311,683.20, 430,122.90 and 177,547.20 is: 245,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,683.20 : 430,122.90 = 177,547.20 : x
  2. Step 2: Convert to fraction form
    311,683.20/430,122.90 = 177,547.20/x
  3. Step 3: Cross multiply
    311,683.20x = 430,122.90 × 177,547.20
  4. Step 4: Simplify right side
    311,683.20x = 76,367,116,550.88
  5. Step 5: Solve for x
    x = 76,367,116,550.88/311,683.20
  6. Step 6: Final answer
    x = 245,015.18

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1.5x scale

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.