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Finding the Fourth Proportional to 289,525.86, 434,769.66 and 195,361.74

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Solution

The fourth proportional to 289,525.86, 434,769.66 and 195,361.74 is: 293,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,525.86 : 434,769.66 = 195,361.74 : x
  2. Step 2: Convert to fraction form
    289,525.86/434,769.66 = 195,361.74/x
  3. Step 3: Cross multiply
    289,525.86x = 434,769.66 × 195,361.74
  4. Step 4: Simplify right side
    289,525.86x = 84,937,357,276.81
  5. Step 5: Solve for x
    x = 84,937,357,276.81/289,525.86
  6. Step 6: Final answer
    x = 293,367.08

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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.