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Finding the Fourth Proportional to 594,625.64, 892,074.64 and 257,722.88

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Solution

The fourth proportional to 594,625.64, 892,074.64 and 257,722.88 is: 386,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,625.64 : 892,074.64 = 257,722.88 : x
  2. Step 2: Convert to fraction form
    594,625.64/892,074.64 = 257,722.88/x
  3. Step 3: Cross multiply
    594,625.64x = 892,074.64 × 257,722.88
  4. Step 4: Simplify right side
    594,625.64x = 229,908,045,395.76
  5. Step 5: Solve for x
    x = 229,908,045,395.76/594,625.64
  6. Step 6: Final answer
    x = 386,643.34

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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.