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Finding the Fourth Proportional to 397,409.40, 594,558.90 and 257,441.40

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Solution

The fourth proportional to 397,409.40, 594,558.90 and 257,441.40 is: 385,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,409.40 : 594,558.90 = 257,441.40 : x
  2. Step 2: Convert to fraction form
    397,409.40/594,558.90 = 257,441.40/x
  3. Step 3: Cross multiply
    397,409.40x = 594,558.90 × 257,441.40
  4. Step 4: Simplify right side
    397,409.40x = 153,064,075,598.46
  5. Step 5: Solve for x
    x = 153,064,075,598.46/397,409.40
  6. Step 6: Final answer
    x = 385,154.64

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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.