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Finding the Fourth Proportional to 458,011.53, 632,131.53 and 254,128.05

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Solution

The fourth proportional to 458,011.53, 632,131.53 and 254,128.05 is: 350,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,011.53 : 632,131.53 = 254,128.05 : x
  2. Step 2: Convert to fraction form
    458,011.53/632,131.53 = 254,128.05/x
  3. Step 3: Cross multiply
    458,011.53x = 632,131.53 × 254,128.05
  4. Step 4: Simplify right side
    458,011.53x = 160,642,353,062.42
  5. Step 5: Solve for x
    x = 160,642,353,062.42/458,011.53
  6. Step 6: Final answer
    x = 350,738.67

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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.