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Finding the Fourth Proportional to 465,930.20, 698,895.30 and 465,930.20

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Solution

The fourth proportional to 465,930.20, 698,895.30 and 465,930.20 is: 698,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,930.20 : 698,895.30 = 465,930.20 : x
  2. Step 2: Convert to fraction form
    465,930.20/698,895.30 = 465,930.20/x
  3. Step 3: Cross multiply
    465,930.20x = 698,895.30 × 465,930.20
  4. Step 4: Simplify right side
    465,930.20x = 325,636,426,908.06
  5. Step 5: Solve for x
    x = 325,636,426,908.06/465,930.20
  6. Step 6: Final answer
    x = 698,895.30

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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.