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Finding the Fourth Proportional to 512,026.24, 767,971.92 and 152,189.42

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Solution

The fourth proportional to 512,026.24, 767,971.92 and 152,189.42 is: 228,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,026.24 : 767,971.92 = 152,189.42 : x
  2. Step 2: Convert to fraction form
    512,026.24/767,971.92 = 152,189.42/x
  3. Step 3: Cross multiply
    512,026.24x = 767,971.92 × 152,189.42
  4. Step 4: Simplify right side
    512,026.24x = 116,877,201,081.09
  5. Step 5: Solve for x
    x = 116,877,201,081.09/512,026.24
  6. Step 6: Final answer
    x = 228,264.08

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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.