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Finding the Fourth Proportional to 604,409.85, 906,302.66 and 177,890.18

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Solution

The fourth proportional to 604,409.85, 906,302.66 and 177,890.18 is: 266,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,409.85 : 906,302.66 = 177,890.18 : x
  2. Step 2: Convert to fraction form
    604,409.85/906,302.66 = 177,890.18/x
  3. Step 3: Cross multiply
    604,409.85x = 906,302.66 × 177,890.18
  4. Step 4: Simplify right side
    604,409.85x = 161,222,337,900.92
  5. Step 5: Solve for x
    x = 161,222,337,900.92/604,409.85
  6. Step 6: Final answer
    x = 266,743.40

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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.