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Finding the Fourth Proportional to 564,063.27, 846,097.79 and 190,089.51

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Solution

The fourth proportional to 564,063.27, 846,097.79 and 190,089.51 is: 285,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,063.27 : 846,097.79 = 190,089.51 : x
  2. Step 2: Convert to fraction form
    564,063.27/846,097.79 = 190,089.51/x
  3. Step 3: Cross multiply
    564,063.27x = 846,097.79 × 190,089.51
  4. Step 4: Simplify right side
    564,063.27x = 160,834,313,362.74
  5. Step 5: Solve for x
    x = 160,834,313,362.74/564,063.27
  6. Step 6: Final answer
    x = 285,135.24

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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.