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Finding the Fourth Proportional to 514,124.55, 770,683.45 and 214,690.76

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Solution

The fourth proportional to 514,124.55, 770,683.45 and 214,690.76 is: 321,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,124.55 : 770,683.45 = 214,690.76 : x
  2. Step 2: Convert to fraction form
    514,124.55/770,683.45 = 214,690.76/x
  3. Step 3: Cross multiply
    514,124.55x = 770,683.45 × 214,690.76
  4. Step 4: Simplify right side
    514,124.55x = 165,458,614,099.84
  5. Step 5: Solve for x
    x = 165,458,614,099.84/514,124.55
  6. Step 6: Final answer
    x = 321,825.94

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1.5x scale

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.