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Finding the Fourth Proportional to 402,564.52, 555,662.82 and 259,324.12

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Solution

The fourth proportional to 402,564.52, 555,662.82 and 259,324.12 is: 357,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,564.52 : 555,662.82 = 259,324.12 : x
  2. Step 2: Convert to fraction form
    402,564.52/555,662.82 = 259,324.12/x
  3. Step 3: Cross multiply
    402,564.52x = 555,662.82 × 259,324.12
  4. Step 4: Simplify right side
    402,564.52x = 144,096,771,813.22
  5. Step 5: Solve for x
    x = 144,096,771,813.22/402,564.52
  6. Step 6: Final answer
    x = 357,947.02

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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.