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Finding the Fourth Proportional to 296,224.70, 443,303.69 and 242,293.28

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Solution

The fourth proportional to 296,224.70, 443,303.69 and 242,293.28 is: 362,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,224.70 : 443,303.69 = 242,293.28 : x
  2. Step 2: Convert to fraction form
    296,224.70/443,303.69 = 242,293.28/x
  3. Step 3: Cross multiply
    296,224.70x = 443,303.69 × 242,293.28
  4. Step 4: Simplify right side
    296,224.70x = 107,409,501,658.22
  5. Step 5: Solve for x
    x = 107,409,501,658.22/296,224.70
  6. Step 6: Final answer
    x = 362,594.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.