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Finding the Fourth Proportional to 523,582.34, 722,492.60 and 294,087.65

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Solution

The fourth proportional to 523,582.34, 722,492.60 and 294,087.65 is: 405,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,582.34 : 722,492.60 = 294,087.65 : x
  2. Step 2: Convert to fraction form
    523,582.34/722,492.60 = 294,087.65/x
  3. Step 3: Cross multiply
    523,582.34x = 722,492.60 × 294,087.65
  4. Step 4: Simplify right side
    523,582.34x = 212,476,145,793.49
  5. Step 5: Solve for x
    x = 212,476,145,793.49/523,582.34
  6. Step 6: Final answer
    x = 405,812.29

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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.