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Finding the Fourth Proportional to 511,502, 767,363.76 and 195,958.92

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Solution

The fourth proportional to 511,502, 767,363.76 and 195,958.92 is: 293,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,502 : 767,363.76 = 195,958.92 : x
  2. Step 2: Convert to fraction form
    511,502/767,363.76 = 195,958.92/x
  3. Step 3: Cross multiply
    511,502x = 767,363.76 × 195,958.92
  4. Step 4: Simplify right side
    511,502x = 150,371,773,656.74
  5. Step 5: Solve for x
    x = 150,371,773,656.74/511,502
  6. Step 6: Final answer
    x = 293,980.81

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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.