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Finding the Fourth Proportional to 345,691.86, 518,528.07 and 188,913.14

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Solution

The fourth proportional to 345,691.86, 518,528.07 and 188,913.14 is: 283,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,691.86 : 518,528.07 = 188,913.14 : x
  2. Step 2: Convert to fraction form
    345,691.86/518,528.07 = 188,913.14/x
  3. Step 3: Cross multiply
    345,691.86x = 518,528.07 × 188,913.14
  4. Step 4: Simplify right side
    345,691.86x = 97,956,765,881.84
  5. Step 5: Solve for x
    x = 97,956,765,881.84/345,691.86
  6. Step 6: Final answer
    x = 283,364.40

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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.