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Finding the Fourth Proportional to 471,245.40, 705,312.90 and 365,491.80

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Solution

The fourth proportional to 471,245.40, 705,312.90 and 365,491.80 is: 547,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,245.40 : 705,312.90 = 365,491.80 : x
  2. Step 2: Convert to fraction form
    471,245.40/705,312.90 = 365,491.80/x
  3. Step 3: Cross multiply
    471,245.40x = 705,312.90 × 365,491.80
  4. Step 4: Simplify right side
    471,245.40x = 257,786,081,384.22
  5. Step 5: Solve for x
    x = 257,786,081,384.22/471,245.40
  6. Step 6: Final answer
    x = 547,031.51

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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.