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Finding the Fourth Proportional to 777,633, 1,166,449.50 and 186,657

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Solution

The fourth proportional to 777,633, 1,166,449.50 and 186,657 is: 279,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,633 : 1,166,449.50 = 186,657 : x
  2. Step 2: Convert to fraction form
    777,633/1,166,449.50 = 186,657/x
  3. Step 3: Cross multiply
    777,633x = 1,166,449.50 × 186,657
  4. Step 4: Simplify right side
    777,633x = 217,725,964,321.50
  5. Step 5: Solve for x
    x = 217,725,964,321.50/777,633
  6. Step 6: Final answer
    x = 279,985.50

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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.