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Finding the Fourth Proportional to 297,653.38, 410,598.07 and 188,557.93

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Solution

The fourth proportional to 297,653.38, 410,598.07 and 188,557.93 is: 260,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,653.38 : 410,598.07 = 188,557.93 : x
  2. Step 2: Convert to fraction form
    297,653.38/410,598.07 = 188,557.93/x
  3. Step 3: Cross multiply
    297,653.38x = 410,598.07 × 188,557.93
  4. Step 4: Simplify right side
    297,653.38x = 77,421,522,141.20
  5. Step 5: Solve for x
    x = 77,421,522,141.20/297,653.38
  6. Step 6: Final answer
    x = 260,106.31

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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.