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Finding the Fourth Proportional to 346,911.78, 478,818.27 and 225,842.25

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Solution

The fourth proportional to 346,911.78, 478,818.27 and 225,842.25 is: 311,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,911.78 : 478,818.27 = 225,842.25 : x
  2. Step 2: Convert to fraction form
    346,911.78/478,818.27 = 225,842.25/x
  3. Step 3: Cross multiply
    346,911.78x = 478,818.27 × 225,842.25
  4. Step 4: Simplify right side
    346,911.78x = 108,137,395,437.91
  5. Step 5: Solve for x
    x = 108,137,395,437.91/346,911.78
  6. Step 6: Final answer
    x = 311,714.39

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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.