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Finding the Fourth Proportional to 458,303, 632,462.46 and 257,103.32

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Solution

The fourth proportional to 458,303, 632,462.46 and 257,103.32 is: 354,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,303 : 632,462.46 = 257,103.32 : x
  2. Step 2: Convert to fraction form
    458,303/632,462.46 = 257,103.32/x
  3. Step 3: Cross multiply
    458,303x = 632,462.46 × 257,103.32
  4. Step 4: Simplify right side
    458,303x = 162,608,198,241.37
  5. Step 5: Solve for x
    x = 162,608,198,241.37/458,303
  6. Step 6: Final answer
    x = 354,805.01

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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.