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Finding the Fourth Proportional to 366,014.48, 549,116.37 and 214,339.64

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Solution

The fourth proportional to 366,014.48, 549,116.37 and 214,339.64 is: 321,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,014.48 : 549,116.37 = 214,339.64 : x
  2. Step 2: Convert to fraction form
    366,014.48/549,116.37 = 214,339.64/x
  3. Step 3: Cross multiply
    366,014.48x = 549,116.37 × 214,339.64
  4. Step 4: Simplify right side
    366,014.48x = 117,697,402,318.33
  5. Step 5: Solve for x
    x = 117,697,402,318.33/366,014.48
  6. Step 6: Final answer
    x = 321,564.88

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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.