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Finding the Fourth Proportional to 514,906.40, 772,359.60 and 465,917.60

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Solution

The fourth proportional to 514,906.40, 772,359.60 and 465,917.60 is: 698,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,906.40 : 772,359.60 = 465,917.60 : x
  2. Step 2: Convert to fraction form
    514,906.40/772,359.60 = 465,917.60/x
  3. Step 3: Cross multiply
    514,906.40x = 772,359.60 × 465,917.60
  4. Step 4: Simplify right side
    514,906.40x = 359,855,931,168.96
  5. Step 5: Solve for x
    x = 359,855,931,168.96/514,906.40
  6. Step 6: Final answer
    x = 698,876.40

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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.