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Finding the Fourth Proportional to 686,738.84, 947,682.10 and 380,810.34

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Solution

The fourth proportional to 686,738.84, 947,682.10 and 380,810.34 is: 525,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,738.84 : 947,682.10 = 380,810.34 : x
  2. Step 2: Convert to fraction form
    686,738.84/947,682.10 = 380,810.34/x
  3. Step 3: Cross multiply
    686,738.84x = 947,682.10 × 380,810.34
  4. Step 4: Simplify right side
    686,738.84x = 360,887,142,712.91
  5. Step 5: Solve for x
    x = 360,887,142,712.91/686,738.84
  6. Step 6: Final answer
    x = 525,508.57

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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.