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Finding the Fourth Proportional to 297,582.72, 410,545.32 and 190,124.88

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Solution

The fourth proportional to 297,582.72, 410,545.32 and 190,124.88 is: 262,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,582.72 : 410,545.32 = 190,124.88 : x
  2. Step 2: Convert to fraction form
    297,582.72/410,545.32 = 190,124.88/x
  3. Step 3: Cross multiply
    297,582.72x = 410,545.32 × 190,124.88
  4. Step 4: Simplify right side
    297,582.72x = 78,054,879,699.56
  5. Step 5: Solve for x
    x = 78,054,879,699.56/297,582.72
  6. Step 6: Final answer
    x = 262,296.41

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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.