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Finding the Fourth Proportional to 433,704.90, 650,557.35 and 291,987.30

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Solution

The fourth proportional to 433,704.90, 650,557.35 and 291,987.30 is: 437,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,704.90 : 650,557.35 = 291,987.30 : x
  2. Step 2: Convert to fraction form
    433,704.90/650,557.35 = 291,987.30/x
  3. Step 3: Cross multiply
    433,704.90x = 650,557.35 × 291,987.30
  4. Step 4: Simplify right side
    433,704.90x = 189,954,484,121.66
  5. Step 5: Solve for x
    x = 189,954,484,121.66/433,704.90
  6. Step 6: Final answer
    x = 437,980.95

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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.