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Finding the Fourth Proportional to 458,307, 632,467.98 and 257,107.32

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Solution

The fourth proportional to 458,307, 632,467.98 and 257,107.32 is: 354,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,307 : 632,467.98 = 257,107.32 : x
  2. Step 2: Convert to fraction form
    458,307/632,467.98 = 257,107.32/x
  3. Step 3: Cross multiply
    458,307x = 632,467.98 × 257,107.32
  4. Step 4: Simplify right side
    458,307x = 162,612,147,323.61
  5. Step 5: Solve for x
    x = 162,612,147,323.61/458,307
  6. Step 6: Final answer
    x = 354,810.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.