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Finding the Fourth Proportional to 682,658, 1,023,948.64 and 209,342.04

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Solution

The fourth proportional to 682,658, 1,023,948.64 and 209,342.04 is: 314,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,658 : 1,023,948.64 = 209,342.04 : x
  2. Step 2: Convert to fraction form
    682,658/1,023,948.64 = 209,342.04/x
  3. Step 3: Cross multiply
    682,658x = 1,023,948.64 × 209,342.04
  4. Step 4: Simplify right side
    682,658x = 214,355,497,152.83
  5. Step 5: Solve for x
    x = 214,355,497,152.83/682,658
  6. Step 6: Final answer
    x = 314,001.30

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Why These Related Problems?

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