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Finding the Fourth Proportional to 262,048.40, 392,489.40 and 256,216.40

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Solution

The fourth proportional to 262,048.40, 392,489.40 and 256,216.40 is: 383,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,048.40 : 392,489.40 = 256,216.40 : x
  2. Step 2: Convert to fraction form
    262,048.40/392,489.40 = 256,216.40/x
  3. Step 3: Cross multiply
    262,048.40x = 392,489.40 × 256,216.40
  4. Step 4: Simplify right side
    262,048.40x = 100,562,221,106.16
  5. Step 5: Solve for x
    x = 100,562,221,106.16/262,048.40
  6. Step 6: Final answer
    x = 383,754.38

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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.