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Finding the Fourth Proportional to 383,230.84, 528,874.87 and 213,465.04

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Solution

The fourth proportional to 383,230.84, 528,874.87 and 213,465.04 is: 294,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,230.84 : 528,874.87 = 213,465.04 : x
  2. Step 2: Convert to fraction form
    383,230.84/528,874.87 = 213,465.04/x
  3. Step 3: Cross multiply
    383,230.84x = 528,874.87 × 213,465.04
  4. Step 4: Simplify right side
    383,230.84x = 112,896,292,635.17
  5. Step 5: Solve for x
    x = 112,896,292,635.17/383,230.84
  6. Step 6: Final answer
    x = 294,590.84

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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.