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Finding the Fourth Proportional to 421,454.40, 632,181.60 and 241,354.95

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Solution

The fourth proportional to 421,454.40, 632,181.60 and 241,354.95 is: 362,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,454.40 : 632,181.60 = 241,354.95 : x
  2. Step 2: Convert to fraction form
    421,454.40/632,181.60 = 241,354.95/x
  3. Step 3: Cross multiply
    421,454.40x = 632,181.60 × 241,354.95
  4. Step 4: Simplify right side
    421,454.40x = 152,580,158,458.92
  5. Step 5: Solve for x
    x = 152,580,158,458.92/421,454.40
  6. Step 6: Final answer
    x = 362,032.43

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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.