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Finding the Fourth Proportional to 458,032.80, 632,089.06 and 254,097.10

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Solution

The fourth proportional to 458,032.80, 632,089.06 and 254,097.10 is: 350,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,032.80 : 632,089.06 = 254,097.10 : x
  2. Step 2: Convert to fraction form
    458,032.80/632,089.06 = 254,097.10/x
  3. Step 3: Cross multiply
    458,032.80x = 632,089.06 × 254,097.10
  4. Step 4: Simplify right side
    458,032.80x = 160,611,997,087.73
  5. Step 5: Solve for x
    x = 160,611,997,087.73/458,032.80
  6. Step 6: Final answer
    x = 350,656.10

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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.