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Finding the Fourth Proportional to 289,397.16, 434,166.78 and 233,741.64

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Solution

The fourth proportional to 289,397.16, 434,166.78 and 233,741.64 is: 350,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,397.16 : 434,166.78 = 233,741.64 : x
  2. Step 2: Convert to fraction form
    289,397.16/434,166.78 = 233,741.64/x
  3. Step 3: Cross multiply
    289,397.16x = 434,166.78 × 233,741.64
  4. Step 4: Simplify right side
    289,397.16x = 101,482,855,190.72
  5. Step 5: Solve for x
    x = 101,482,855,190.72/289,397.16
  6. Step 6: Final answer
    x = 350,669.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.