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Finding the Fourth Proportional to 507,984.42, 762,014.93 and 171,026.04

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Solution

The fourth proportional to 507,984.42, 762,014.93 and 171,026.04 is: 256,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,984.42 : 762,014.93 = 171,026.04 : x
  2. Step 2: Convert to fraction form
    507,984.42/762,014.93 = 171,026.04/x
  3. Step 3: Cross multiply
    507,984.42x = 762,014.93 × 171,026.04
  4. Step 4: Simplify right side
    507,984.42x = 130,324,395,043.65
  5. Step 5: Solve for x
    x = 130,324,395,043.65/507,984.42
  6. Step 6: Final answer
    x = 256,551.95

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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.