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Finding the Fourth Proportional to 686,840.65, 947,898.33 and 381,015.58

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Solution

The fourth proportional to 686,840.65, 947,898.33 and 381,015.58 is: 525,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,840.65 : 947,898.33 = 381,015.58 : x
  2. Step 2: Convert to fraction form
    686,840.65/947,898.33 = 381,015.58/x
  3. Step 3: Cross multiply
    686,840.65x = 947,898.33 × 381,015.58
  4. Step 4: Simplify right side
    686,840.65x = 361,164,031,985.98
  5. Step 5: Solve for x
    x = 361,164,031,985.98/686,840.65
  6. Step 6: Final answer
    x = 525,833.80

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Why These Related Problems?

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