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Finding the Fourth Proportional to 289,903.18, 434,958.35 and 176,282.16

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Solution

The fourth proportional to 289,903.18, 434,958.35 and 176,282.16 is: 264,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,903.18 : 434,958.35 = 176,282.16 : x
  2. Step 2: Convert to fraction form
    289,903.18/434,958.35 = 176,282.16/x
  3. Step 3: Cross multiply
    289,903.18x = 434,958.35 × 176,282.16
  4. Step 4: Simplify right side
    289,903.18x = 76,675,397,448.04
  5. Step 5: Solve for x
    x = 76,675,397,448.04/289,903.18
  6. Step 6: Final answer
    x = 264,486.22

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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.