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Finding the Fourth Proportional to 464,786.98, 695,421.12 and 275,349.04

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Solution

The fourth proportional to 464,786.98, 695,421.12 and 275,349.04 is: 411,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,786.98 : 695,421.12 = 275,349.04 : x
  2. Step 2: Convert to fraction form
    464,786.98/695,421.12 = 275,349.04/x
  3. Step 3: Cross multiply
    464,786.98x = 695,421.12 × 275,349.04
  4. Step 4: Simplify right side
    464,786.98x = 191,483,537,787.73
  5. Step 5: Solve for x
    x = 191,483,537,787.73/464,786.98
  6. Step 6: Final answer
    x = 411,981.29

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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.