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Finding the Fourth Proportional to 383,936.40, 575,904.60 and 257,965.20

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Solution

The fourth proportional to 383,936.40, 575,904.60 and 257,965.20 is: 386,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,936.40 : 575,904.60 = 257,965.20 : x
  2. Step 2: Convert to fraction form
    383,936.40/575,904.60 = 257,965.20/x
  3. Step 3: Cross multiply
    383,936.40x = 575,904.60 × 257,965.20
  4. Step 4: Simplify right side
    383,936.40x = 148,563,345,319.92
  5. Step 5: Solve for x
    x = 148,563,345,319.92/383,936.40
  6. Step 6: Final answer
    x = 386,947.80

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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.