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Finding the Fourth Proportional to 397,410.40, 594,560.40 and 257,442.40

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Solution

The fourth proportional to 397,410.40, 594,560.40 and 257,442.40 is: 385,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,410.40 : 594,560.40 = 257,442.40 : x
  2. Step 2: Convert to fraction form
    397,410.40/594,560.40 = 257,442.40/x
  3. Step 3: Cross multiply
    397,410.40x = 594,560.40 × 257,442.40
  4. Step 4: Simplify right side
    397,410.40x = 153,065,056,320.96
  5. Step 5: Solve for x
    x = 153,065,056,320.96/397,410.40
  6. Step 6: Final answer
    x = 385,156.14

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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.