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Finding the Fourth Proportional to 219,146, 328,719.04 and 52,934

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Solution

The fourth proportional to 219,146, 328,719.04 and 52,934 is: 79,401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,146 : 328,719.04 = 52,934 : x
  2. Step 2: Convert to fraction form
    219,146/328,719.04 = 52,934/x
  3. Step 3: Cross multiply
    219,146x = 328,719.04 × 52,934
  4. Step 4: Simplify right side
    219,146x = 17,400,413,663.36
  5. Step 5: Solve for x
    x = 17,400,413,663.36/219,146
  6. Step 6: Final answer
    x = 79,401.01

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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.