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Finding the Fourth Proportional to 260,390.54, 390,582.96 and 197,596.32

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Solution

The fourth proportional to 260,390.54, 390,582.96 and 197,596.32 is: 296,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,390.54 : 390,582.96 = 197,596.32 : x
  2. Step 2: Convert to fraction form
    260,390.54/390,582.96 = 197,596.32/x
  3. Step 3: Cross multiply
    260,390.54x = 390,582.96 × 197,596.32
  4. Step 4: Simplify right side
    260,390.54x = 77,177,755,550.71
  5. Step 5: Solve for x
    x = 77,177,755,550.71/260,390.54
  6. Step 6: Final answer
    x = 296,392.32

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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.