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Finding the Fourth Proportional to 488,583.70, 733,048.35 and 471,303.70

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Solution

The fourth proportional to 488,583.70, 733,048.35 and 471,303.70 is: 707,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,583.70 : 733,048.35 = 471,303.70 : x
  2. Step 2: Convert to fraction form
    488,583.70/733,048.35 = 471,303.70/x
  3. Step 3: Cross multiply
    488,583.70x = 733,048.35 × 471,303.70
  4. Step 4: Simplify right side
    488,583.70x = 345,488,399,633.90
  5. Step 5: Solve for x
    x = 345,488,399,633.90/488,583.70
  6. Step 6: Final answer
    x = 707,122.24

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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.