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Finding the Fourth Proportional to 465,930.40, 698,895.60 and 297,968.80

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Solution

The fourth proportional to 465,930.40, 698,895.60 and 297,968.80 is: 446,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,930.40 : 698,895.60 = 297,968.80 : x
  2. Step 2: Convert to fraction form
    465,930.40/698,895.60 = 297,968.80/x
  3. Step 3: Cross multiply
    465,930.40x = 698,895.60 × 297,968.80
  4. Step 4: Simplify right side
    465,930.40x = 208,249,083,257.28
  5. Step 5: Solve for x
    x = 208,249,083,257.28/465,930.40
  6. Step 6: Final answer
    x = 446,953.20

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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.