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Finding the Fourth Proportional to 370,465.08, 511,241.76 and 200,699.16

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Solution

The fourth proportional to 370,465.08, 511,241.76 and 200,699.16 is: 276,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,465.08 : 511,241.76 = 200,699.16 : x
  2. Step 2: Convert to fraction form
    370,465.08/511,241.76 = 200,699.16/x
  3. Step 3: Cross multiply
    370,465.08x = 511,241.76 × 200,699.16
  4. Step 4: Simplify right side
    370,465.08x = 102,605,791,788.92
  5. Step 5: Solve for x
    x = 102,605,791,788.92/370,465.08
  6. Step 6: Final answer
    x = 276,964.81

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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.