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Finding the Fourth Proportional to 514,280.60, 771,544.05 and 214,594.46

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Solution

The fourth proportional to 514,280.60, 771,544.05 and 214,594.46 is: 321,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,280.60 : 771,544.05 = 214,594.46 : x
  2. Step 2: Convert to fraction form
    514,280.60/771,544.05 = 214,594.46/x
  3. Step 3: Cross multiply
    514,280.60x = 771,544.05 × 214,594.46
  4. Step 4: Simplify right side
    514,280.60x = 165,569,078,775.96
  5. Step 5: Solve for x
    x = 165,569,078,775.96/514,280.60
  6. Step 6: Final answer
    x = 321,943.08

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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.