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Finding the Fourth Proportional to 478,914.40, 717,886.51 and 310,541.52

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Solution

The fourth proportional to 478,914.40, 717,886.51 and 310,541.52 is: 465,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,914.40 : 717,886.51 = 310,541.52 : x
  2. Step 2: Convert to fraction form
    478,914.40/717,886.51 = 310,541.52/x
  3. Step 3: Cross multiply
    478,914.40x = 717,886.51 × 310,541.52
  4. Step 4: Simplify right side
    478,914.40x = 222,933,567,226.54
  5. Step 5: Solve for x
    x = 222,933,567,226.54/478,914.40
  6. Step 6: Final answer
    x = 465,497.73

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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.