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Finding the Fourth Proportional to 470,302.44, 705,878.16 and 318,131.52

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Solution

The fourth proportional to 470,302.44, 705,878.16 and 318,131.52 is: 477,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,302.44 : 705,878.16 = 318,131.52 : x
  2. Step 2: Convert to fraction form
    470,302.44/705,878.16 = 318,131.52/x
  3. Step 3: Cross multiply
    470,302.44x = 705,878.16 × 318,131.52
  4. Step 4: Simplify right side
    470,302.44x = 224,562,091,975.60
  5. Step 5: Solve for x
    x = 224,562,091,975.60/470,302.44
  6. Step 6: Final answer
    x = 477,484.43

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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.