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Finding the Fourth Proportional to 296,740.96, 409,478.26 and 174,220.42

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Solution

The fourth proportional to 296,740.96, 409,478.26 and 174,220.42 is: 240,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,740.96 : 409,478.26 = 174,220.42 : x
  2. Step 2: Convert to fraction form
    296,740.96/409,478.26 = 174,220.42/x
  3. Step 3: Cross multiply
    296,740.96x = 409,478.26 × 174,220.42
  4. Step 4: Simplify right side
    296,740.96x = 71,339,474,438.07
  5. Step 5: Solve for x
    x = 71,339,474,438.07/296,740.96
  6. Step 6: Final answer
    x = 240,409.93

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1.5x scale

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.