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Finding the Fourth Proportional to 632,774.30, 873,216.86 and 346,288.64

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Solution

The fourth proportional to 632,774.30, 873,216.86 and 346,288.64 is: 477,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,774.30 : 873,216.86 = 346,288.64 : x
  2. Step 2: Convert to fraction form
    632,774.30/873,216.86 = 346,288.64/x
  3. Step 3: Cross multiply
    632,774.30x = 873,216.86 × 346,288.64
  4. Step 4: Simplify right side
    632,774.30x = 302,385,078,874.47
  5. Step 5: Solve for x
    x = 302,385,078,874.47/632,774.30
  6. Step 6: Final answer
    x = 477,871.93

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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.