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Finding the Fourth Proportional to 532,409.64, 734,715.45 and 302,961.84

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Solution

The fourth proportional to 532,409.64, 734,715.45 and 302,961.84 is: 418,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,409.64 : 734,715.45 = 302,961.84 : x
  2. Step 2: Convert to fraction form
    532,409.64/734,715.45 = 302,961.84/x
  3. Step 3: Cross multiply
    532,409.64x = 734,715.45 × 302,961.84
  4. Step 4: Simplify right side
    532,409.64x = 222,590,744,608.43
  5. Step 5: Solve for x
    x = 222,590,744,608.43/532,409.64
  6. Step 6: Final answer
    x = 418,081.73

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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.