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Finding the Fourth Proportional to 452,014.34, 677,758.98 and 171,378.50

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Solution

The fourth proportional to 452,014.34, 677,758.98 and 171,378.50 is: 256,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,014.34 : 677,758.98 = 171,378.50 : x
  2. Step 2: Convert to fraction form
    452,014.34/677,758.98 = 171,378.50/x
  3. Step 3: Cross multiply
    452,014.34x = 677,758.98 × 171,378.50
  4. Step 4: Simplify right side
    452,014.34x = 116,153,317,353.93
  5. Step 5: Solve for x
    x = 116,153,317,353.93/452,014.34
  6. Step 6: Final answer
    x = 256,968.21

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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.