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Finding the Fourth Proportional to 687,705.90, 1,031,704.65 and 207,894.30

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Solution

The fourth proportional to 687,705.90, 1,031,704.65 and 207,894.30 is: 311,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,705.90 : 1,031,704.65 = 207,894.30 : x
  2. Step 2: Convert to fraction form
    687,705.90/1,031,704.65 = 207,894.30/x
  3. Step 3: Cross multiply
    687,705.90x = 1,031,704.65 × 207,894.30
  4. Step 4: Simplify right side
    687,705.90x = 214,485,516,018.50
  5. Step 5: Solve for x
    x = 214,485,516,018.50/687,705.90
  6. Step 6: Final answer
    x = 311,885.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.