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Finding the Fourth Proportional to 632,714.36, 873,124.62 and 346,215.20

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Solution

The fourth proportional to 632,714.36, 873,124.62 and 346,215.20 is: 477,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,714.36 : 873,124.62 = 346,215.20 : x
  2. Step 2: Convert to fraction form
    632,714.36/873,124.62 = 346,215.20/x
  3. Step 3: Cross multiply
    632,714.36x = 873,124.62 × 346,215.20
  4. Step 4: Simplify right side
    632,714.36x = 302,289,014,938.22
  5. Step 5: Solve for x
    x = 302,289,014,938.22/632,714.36
  6. Step 6: Final answer
    x = 477,765.38

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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.