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Finding the Fourth Proportional to 432,868.35, 649,302.53 and 401,375.55

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Solution

The fourth proportional to 432,868.35, 649,302.53 and 401,375.55 is: 602,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,868.35 : 649,302.53 = 401,375.55 : x
  2. Step 2: Convert to fraction form
    432,868.35/649,302.53 = 401,375.55/x
  3. Step 3: Cross multiply
    432,868.35x = 649,302.53 × 401,375.55
  4. Step 4: Simplify right side
    432,868.35x = 260,614,158,088.26
  5. Step 5: Solve for x
    x = 260,614,158,088.26/432,868.35
  6. Step 6: Final answer
    x = 602,063.33

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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.