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Finding the Fourth Proportional to 288,830.22, 433,108.60 and 168,921.87

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Solution

The fourth proportional to 288,830.22, 433,108.60 and 168,921.87 is: 253,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,830.22 : 433,108.60 = 168,921.87 : x
  2. Step 2: Convert to fraction form
    288,830.22/433,108.60 = 168,921.87/x
  3. Step 3: Cross multiply
    288,830.22x = 433,108.60 × 168,921.87
  4. Step 4: Simplify right side
    288,830.22x = 73,161,514,625.08
  5. Step 5: Solve for x
    x = 73,161,514,625.08/288,830.22
  6. Step 6: Final answer
    x = 253,302.84

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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.