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Finding the Fourth Proportional to 702,971, 970,118.01 and 431,189.06

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Solution

The fourth proportional to 702,971, 970,118.01 and 431,189.06 is: 595,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,971 : 970,118.01 = 431,189.06 : x
  2. Step 2: Convert to fraction form
    702,971/970,118.01 = 431,189.06/x
  3. Step 3: Cross multiply
    702,971x = 970,118.01 × 431,189.06
  4. Step 4: Simplify right side
    702,971x = 418,304,272,820.97
  5. Step 5: Solve for x
    x = 418,304,272,820.97/702,971
  6. Step 6: Final answer
    x = 595,051.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.