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Finding the Fourth Proportional to 822,977.16, 1,234,341 and 223,985

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Solution

The fourth proportional to 822,977.16, 1,234,341 and 223,985 is: 335,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,977.16 : 1,234,341 = 223,985 : x
  2. Step 2: Convert to fraction form
    822,977.16/1,234,341 = 223,985/x
  3. Step 3: Cross multiply
    822,977.16x = 1,234,341 × 223,985
  4. Step 4: Simplify right side
    822,977.16x = 276,473,868,885
  5. Step 5: Solve for x
    x = 276,473,868,885/822,977.16
  6. Step 6: Final answer
    x = 335,943.55

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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.