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Finding the Fourth Proportional to 488,583.20, 733,047.60 and 471,303.20

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Solution

The fourth proportional to 488,583.20, 733,047.60 and 471,303.20 is: 707,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,583.20 : 733,047.60 = 471,303.20 : x
  2. Step 2: Convert to fraction form
    488,583.20/733,047.60 = 471,303.20/x
  3. Step 3: Cross multiply
    488,583.20x = 733,047.60 × 471,303.20
  4. Step 4: Simplify right side
    488,583.20x = 345,487,679,632.32
  5. Step 5: Solve for x
    x = 345,487,679,632.32/488,583.20
  6. Step 6: Final answer
    x = 707,121.49

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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.