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Finding the Fourth Proportional to 292,226.40, 438,339.60 and 167,464.80

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Solution

The fourth proportional to 292,226.40, 438,339.60 and 167,464.80 is: 251,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,226.40 : 438,339.60 = 167,464.80 : x
  2. Step 2: Convert to fraction form
    292,226.40/438,339.60 = 167,464.80/x
  3. Step 3: Cross multiply
    292,226.40x = 438,339.60 × 167,464.80
  4. Step 4: Simplify right side
    292,226.40x = 73,406,453,446.08
  5. Step 5: Solve for x
    x = 73,406,453,446.08/292,226.40
  6. Step 6: Final answer
    x = 251,197.20

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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.