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Finding the Fourth Proportional to 397,406.40, 594,554.40 and 257,438.40

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Solution

The fourth proportional to 397,406.40, 594,554.40 and 257,438.40 is: 385,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,406.40 : 594,554.40 = 257,438.40 : x
  2. Step 2: Convert to fraction form
    397,406.40/594,554.40 = 257,438.40/x
  3. Step 3: Cross multiply
    397,406.40x = 594,554.40 × 257,438.40
  4. Step 4: Simplify right side
    397,406.40x = 153,061,133,448.96
  5. Step 5: Solve for x
    x = 153,061,133,448.96/397,406.40
  6. Step 6: Final answer
    x = 385,150.15

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1.5x scale

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.