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Finding the Fourth Proportional to 458,370.45, 632,541.42 and 254,409.48

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Solution

The fourth proportional to 458,370.45, 632,541.42 and 254,409.48 is: 351,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,370.45 : 632,541.42 = 254,409.48 : x
  2. Step 2: Convert to fraction form
    458,370.45/632,541.42 = 254,409.48/x
  3. Step 3: Cross multiply
    458,370.45x = 632,541.42 × 254,409.48
  4. Step 4: Simplify right side
    458,370.45x = 160,924,533,740.66
  5. Step 5: Solve for x
    x = 160,924,533,740.66/458,370.45
  6. Step 6: Final answer
    x = 351,079.64

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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.