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Finding the Fourth Proportional to 293,465, 404,981.70 and 159,329

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Solution

The fourth proportional to 293,465, 404,981.70 and 159,329 is: 219,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,465 : 404,981.70 = 159,329 : x
  2. Step 2: Convert to fraction form
    293,465/404,981.70 = 159,329/x
  3. Step 3: Cross multiply
    293,465x = 404,981.70 × 159,329
  4. Step 4: Simplify right side
    293,465x = 64,525,329,279.30
  5. Step 5: Solve for x
    x = 64,525,329,279.30/293,465
  6. Step 6: Final answer
    x = 219,874.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.