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Finding the Fourth Proportional to 464,780.97, 695,412.14 and 275,343.03

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Solution

The fourth proportional to 464,780.97, 695,412.14 and 275,343.03 is: 411,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,780.97 : 695,412.14 = 275,343.03 : x
  2. Step 2: Convert to fraction form
    464,780.97/695,412.14 = 275,343.03/x
  3. Step 3: Cross multiply
    464,780.97x = 695,412.14 × 275,343.03
  4. Step 4: Simplify right side
    464,780.97x = 191,476,884,349.67
  5. Step 5: Solve for x
    x = 191,476,884,349.67/464,780.97
  6. Step 6: Final answer
    x = 411,972.30

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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.