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Finding the Fourth Proportional to 289,667.48, 434,551.57 and 97,523.66

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Solution

The fourth proportional to 289,667.48, 434,551.57 and 97,523.66 is: 146,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,667.48 : 434,551.57 = 97,523.66 : x
  2. Step 2: Convert to fraction form
    289,667.48/434,551.57 = 97,523.66/x
  3. Step 3: Cross multiply
    289,667.48x = 434,551.57 × 97,523.66
  4. Step 4: Simplify right side
    289,667.48x = 42,379,060,407.72
  5. Step 5: Solve for x
    x = 42,379,060,407.72/289,667.48
  6. Step 6: Final answer
    x = 146,302.45

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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.