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Finding the Fourth Proportional to 418,113.63, 626,972.94 and 162,066.15

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Solution

The fourth proportional to 418,113.63, 626,972.94 and 162,066.15 is: 243,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,113.63 : 626,972.94 = 162,066.15 : x
  2. Step 2: Convert to fraction form
    418,113.63/626,972.94 = 162,066.15/x
  3. Step 3: Cross multiply
    418,113.63x = 626,972.94 × 162,066.15
  4. Step 4: Simplify right side
    418,113.63x = 101,611,090,539.98
  5. Step 5: Solve for x
    x = 101,611,090,539.98/418,113.63
  6. Step 6: Final answer
    x = 243,022.67

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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.