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Finding the Fourth Proportional to 702,972.21, 970,102.17 and 380,682.66

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Solution

The fourth proportional to 702,972.21, 970,102.17 and 380,682.66 is: 525,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,972.21 : 970,102.17 = 380,682.66 : x
  2. Step 2: Convert to fraction form
    702,972.21/970,102.17 = 380,682.66/x
  3. Step 3: Cross multiply
    702,972.21x = 970,102.17 × 380,682.66
  4. Step 4: Simplify right side
    702,972.21x = 369,301,074,547.37
  5. Step 5: Solve for x
    x = 369,301,074,547.37/702,972.21
  6. Step 6: Final answer
    x = 525,342.35

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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.