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Finding the Fourth Proportional to 662,711, 994,066.50 and 164,075

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Solution

The fourth proportional to 662,711, 994,066.50 and 164,075 is: 246,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,711 : 994,066.50 = 164,075 : x
  2. Step 2: Convert to fraction form
    662,711/994,066.50 = 164,075/x
  3. Step 3: Cross multiply
    662,711x = 994,066.50 × 164,075
  4. Step 4: Simplify right side
    662,711x = 163,101,460,987.50
  5. Step 5: Solve for x
    x = 163,101,460,987.50/662,711
  6. Step 6: Final answer
    x = 246,112.50

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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.