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Finding the Fourth Proportional to 333,105.84, 459,556.94 and 212,225.48

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Solution

The fourth proportional to 333,105.84, 459,556.94 and 212,225.48 is: 292,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,105.84 : 459,556.94 = 212,225.48 : x
  2. Step 2: Convert to fraction form
    333,105.84/459,556.94 = 212,225.48/x
  3. Step 3: Cross multiply
    333,105.84x = 459,556.94 × 212,225.48
  4. Step 4: Simplify right side
    333,105.84x = 97,529,692,178.83
  5. Step 5: Solve for x
    x = 97,529,692,178.83/333,105.84
  6. Step 6: Final answer
    x = 292,788.90

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1.5x scale

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.