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Finding the Fourth Proportional to 503,051.04, 694,256.40 and 288,260.64

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Solution

The fourth proportional to 503,051.04, 694,256.40 and 288,260.64 is: 397,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,051.04 : 694,256.40 = 288,260.64 : x
  2. Step 2: Convert to fraction form
    503,051.04/694,256.40 = 288,260.64/x
  3. Step 3: Cross multiply
    503,051.04x = 694,256.40 × 288,260.64
  4. Step 4: Simplify right side
    503,051.04x = 200,126,794,188.10
  5. Step 5: Solve for x
    x = 200,126,794,188.10/503,051.04
  6. Step 6: Final answer
    x = 397,826.02

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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.