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Finding the Fourth Proportional to 389,097.14, 583,158.51 and 208,737.14

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Solution

The fourth proportional to 389,097.14, 583,158.51 and 208,737.14 is: 312,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,097.14 : 583,158.51 = 208,737.14 : x
  2. Step 2: Convert to fraction form
    389,097.14/583,158.51 = 208,737.14/x
  3. Step 3: Cross multiply
    389,097.14x = 583,158.51 × 208,737.14
  4. Step 4: Simplify right side
    389,097.14x = 121,726,839,544.06
  5. Step 5: Solve for x
    x = 121,726,839,544.06/389,097.14
  6. Step 6: Final answer
    x = 312,844.34

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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.