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Finding the Fourth Proportional to 292,271.20, 438,867.60 and 167,855.20

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Solution

The fourth proportional to 292,271.20, 438,867.60 and 167,855.20 is: 252,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,271.20 : 438,867.60 = 167,855.20 : x
  2. Step 2: Convert to fraction form
    292,271.20/438,867.60 = 167,855.20/x
  3. Step 3: Cross multiply
    292,271.20x = 438,867.60 × 167,855.20
  4. Step 4: Simplify right side
    292,271.20x = 73,666,208,771.52
  5. Step 5: Solve for x
    x = 73,666,208,771.52/292,271.20
  6. Step 6: Final answer
    x = 252,047.44

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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.