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Finding the Fourth Proportional to 632,742.40, 873,184.52 and 346,262.60

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Solution

The fourth proportional to 632,742.40, 873,184.52 and 346,262.60 is: 477,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,742.40 : 873,184.52 = 346,262.60 : x
  2. Step 2: Convert to fraction form
    632,742.40/873,184.52 = 346,262.60/x
  3. Step 3: Cross multiply
    632,742.40x = 873,184.52 × 346,262.60
  4. Step 4: Simplify right side
    632,742.40x = 302,351,142,174.95
  5. Step 5: Solve for x
    x = 302,351,142,174.95/632,742.40
  6. Step 6: Final answer
    x = 477,842.39

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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.