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Finding the Fourth Proportional to 569,762.20, 853,943.46 and 319,919.32

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Solution

The fourth proportional to 569,762.20, 853,943.46 and 319,919.32 is: 479,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,762.20 : 853,943.46 = 319,919.32 : x
  2. Step 2: Convert to fraction form
    569,762.20/853,943.46 = 319,919.32/x
  3. Step 3: Cross multiply
    569,762.20x = 853,943.46 × 319,919.32
  4. Step 4: Simplify right side
    569,762.20x = 273,193,011,041.65
  5. Step 5: Solve for x
    x = 273,193,011,041.65/569,762.20
  6. Step 6: Final answer
    x = 479,486.02

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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.