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Finding the Fourth Proportional to 341,214.67, 511,406.92 and 241,403.64

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Solution

The fourth proportional to 341,214.67, 511,406.92 and 241,403.64 is: 361,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,214.67 : 511,406.92 = 241,403.64 : x
  2. Step 2: Convert to fraction form
    341,214.67/511,406.92 = 241,403.64/x
  3. Step 3: Cross multiply
    341,214.67x = 511,406.92 × 241,403.64
  4. Step 4: Simplify right side
    341,214.67x = 123,455,492,009.19
  5. Step 5: Solve for x
    x = 123,455,492,009.19/341,214.67
  6. Step 6: Final answer
    x = 361,811.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.