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Finding the Fourth Proportional to 346,404.24, 478,051.20 and 195,498

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Solution

The fourth proportional to 346,404.24, 478,051.20 and 195,498 is: 269,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,404.24 : 478,051.20 = 195,498 : x
  2. Step 2: Convert to fraction form
    346,404.24/478,051.20 = 195,498/x
  3. Step 3: Cross multiply
    346,404.24x = 478,051.20 × 195,498
  4. Step 4: Simplify right side
    346,404.24x = 93,458,053,497.60
  5. Step 5: Solve for x
    x = 93,458,053,497.60/346,404.24
  6. Step 6: Final answer
    x = 269,794.77

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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.