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Finding the Fourth Proportional to 294,647.44, 406,256.52 and 229,255.24

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Solution

The fourth proportional to 294,647.44, 406,256.52 and 229,255.24 is: 316,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,647.44 : 406,256.52 = 229,255.24 : x
  2. Step 2: Convert to fraction form
    294,647.44/406,256.52 = 229,255.24/x
  3. Step 3: Cross multiply
    294,647.44x = 406,256.52 × 229,255.24
  4. Step 4: Simplify right side
    294,647.44x = 93,136,435,994.16
  5. Step 5: Solve for x
    x = 93,136,435,994.16/294,647.44
  6. Step 6: Final answer
    x = 316,094.50

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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.