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Finding the Fourth Proportional to 613,345.95, 846,442.27 and 341,396.60

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Solution

The fourth proportional to 613,345.95, 846,442.27 and 341,396.60 is: 471,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,345.95 : 846,442.27 = 341,396.60 : x
  2. Step 2: Convert to fraction form
    613,345.95/846,442.27 = 341,396.60/x
  3. Step 3: Cross multiply
    613,345.95x = 846,442.27 × 341,396.60
  4. Step 4: Simplify right side
    613,345.95x = 288,972,509,268.82
  5. Step 5: Solve for x
    x = 288,972,509,268.82/613,345.95
  6. Step 6: Final answer
    x = 471,141.14

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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.