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Finding the Fourth Proportional to 511,364.25, 767,157.10 and 195,821.17

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Solution

The fourth proportional to 511,364.25, 767,157.10 and 195,821.17 is: 293,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,364.25 : 767,157.10 = 195,821.17 : x
  2. Step 2: Convert to fraction form
    511,364.25/767,157.10 = 195,821.17/x
  3. Step 3: Cross multiply
    511,364.25x = 767,157.10 × 195,821.17
  4. Step 4: Simplify right side
    511,364.25x = 150,225,598,488.36
  5. Step 5: Solve for x
    x = 150,225,598,488.36/511,364.25
  6. Step 6: Final answer
    x = 293,774.15

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1.5x scale

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.