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Finding the Fourth Proportional to 809,552, 1,214,386.32 and 310,916

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Solution

The fourth proportional to 809,552, 1,214,386.32 and 310,916 is: 466,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,552 : 1,214,386.32 = 310,916 : x
  2. Step 2: Convert to fraction form
    809,552/1,214,386.32 = 310,916/x
  3. Step 3: Cross multiply
    809,552x = 1,214,386.32 × 310,916
  4. Step 4: Simplify right side
    809,552x = 377,572,137,069.12
  5. Step 5: Solve for x
    x = 377,572,137,069.12/809,552
  6. Step 6: Final answer
    x = 466,396.40

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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.