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Finding the Fourth Proportional to 594,632.80, 892,064.40 and 257,672.80

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Solution

The fourth proportional to 594,632.80, 892,064.40 and 257,672.80 is: 386,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,632.80 : 892,064.40 = 257,672.80 : x
  2. Step 2: Convert to fraction form
    594,632.80/892,064.40 = 257,672.80/x
  3. Step 3: Cross multiply
    594,632.80x = 892,064.40 × 257,672.80
  4. Step 4: Simplify right side
    594,632.80x = 229,860,731,728.32
  5. Step 5: Solve for x
    x = 229,860,731,728.32/594,632.80
  6. Step 6: Final answer
    x = 386,559.12

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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.