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Finding the Fourth Proportional to 427,924.52, 590,556.12 and 258,155

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Solution

The fourth proportional to 427,924.52, 590,556.12 and 258,155 is: 356,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,924.52 : 590,556.12 = 258,155 : x
  2. Step 2: Convert to fraction form
    427,924.52/590,556.12 = 258,155/x
  3. Step 3: Cross multiply
    427,924.52x = 590,556.12 × 258,155
  4. Step 4: Simplify right side
    427,924.52x = 152,455,015,158.60
  5. Step 5: Solve for x
    x = 152,455,015,158.60/427,924.52
  6. Step 6: Final answer
    x = 356,266.14

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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.