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Finding the Fourth Proportional to 594,660.80, 892,106.40 and 257,700.80

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Solution

The fourth proportional to 594,660.80, 892,106.40 and 257,700.80 is: 386,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,660.80 : 892,106.40 = 257,700.80 : x
  2. Step 2: Convert to fraction form
    594,660.80/892,106.40 = 257,700.80/x
  3. Step 3: Cross multiply
    594,660.80x = 892,106.40 × 257,700.80
  4. Step 4: Simplify right side
    594,660.80x = 229,896,532,965.12
  5. Step 5: Solve for x
    x = 229,896,532,965.12/594,660.80
  6. Step 6: Final answer
    x = 386,601.12

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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.