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Finding the Fourth Proportional to 458,577.32, 632,827.80 and 254,617.64

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Solution

The fourth proportional to 458,577.32, 632,827.80 and 254,617.64 is: 351,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,577.32 : 632,827.80 = 254,617.64 : x
  2. Step 2: Convert to fraction form
    458,577.32/632,827.80 = 254,617.64/x
  3. Step 3: Cross multiply
    458,577.32x = 632,827.80 × 254,617.64
  4. Step 4: Simplify right side
    458,577.32x = 161,129,120,962.39
  5. Step 5: Solve for x
    x = 161,129,120,962.39/458,577.32
  6. Step 6: Final answer
    x = 351,367.40

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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.