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Finding the Fourth Proportional to 508,677, 763,015.54 and 193,134.08

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Solution

The fourth proportional to 508,677, 763,015.54 and 193,134.08 is: 289,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,677 : 763,015.54 = 193,134.08 : x
  2. Step 2: Convert to fraction form
    508,677/763,015.54 = 193,134.08/x
  3. Step 3: Cross multiply
    508,677x = 763,015.54 × 193,134.08
  4. Step 4: Simplify right side
    508,677x = 147,364,304,343.60
  5. Step 5: Solve for x
    x = 147,364,304,343.60/508,677
  6. Step 6: Final answer
    x = 289,701.14

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