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Finding the Fourth Proportional to 1,073,978.24, 1,611,668.23 and 400,598.21

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Solution

The fourth proportional to 1,073,978.24, 1,611,668.23 and 400,598.21 is: 601,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,978.24 : 1,611,668.23 = 400,598.21 : x
  2. Step 2: Convert to fraction form
    1,073,978.24/1,611,668.23 = 400,598.21/x
  3. Step 3: Cross multiply
    1,073,978.24x = 1,611,668.23 × 400,598.21
  4. Step 4: Simplify right side
    1,073,978.24x = 645,631,408,051.87
  5. Step 5: Solve for x
    x = 645,631,408,051.87/1,073,978.24
  6. Step 6: Final answer
    x = 601,158.74

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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.