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Finding the Fourth Proportional to 464,805, 697,502.44 and 198,567.52

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Solution

The fourth proportional to 464,805, 697,502.44 and 198,567.52 is: 297,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,805 : 697,502.44 = 198,567.52 : x
  2. Step 2: Convert to fraction form
    464,805/697,502.44 = 198,567.52/x
  3. Step 3: Cross multiply
    464,805x = 697,502.44 × 198,567.52
  4. Step 4: Simplify right side
    464,805x = 138,501,328,209.20
  5. Step 5: Solve for x
    x = 138,501,328,209.20/464,805
  6. Step 6: Final answer
    x = 297,977.28

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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.