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Finding the Fourth Proportional to 909,414, 1,364,317.56 and 348,449.04

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Solution

The fourth proportional to 909,414, 1,364,317.56 and 348,449.04 is: 522,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,414 : 1,364,317.56 = 348,449.04 : x
  2. Step 2: Convert to fraction form
    909,414/1,364,317.56 = 348,449.04/x
  3. Step 3: Cross multiply
    909,414x = 1,364,317.56 × 348,449.04
  4. Step 4: Simplify right side
    909,414x = 475,395,144,037.14
  5. Step 5: Solve for x
    x = 475,395,144,037.14/909,414
  6. Step 6: Final answer
    x = 522,748.87

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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.