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Finding the Fourth Proportional to 333,102.84, 459,552.80 and 212,222.48

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Solution

The fourth proportional to 333,102.84, 459,552.80 and 212,222.48 is: 292,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,102.84 : 459,552.80 = 212,222.48 : x
  2. Step 2: Convert to fraction form
    333,102.84/459,552.80 = 212,222.48/x
  3. Step 3: Cross multiply
    333,102.84x = 459,552.80 × 212,222.48
  4. Step 4: Simplify right side
    333,102.84x = 97,527,434,906.94
  5. Step 5: Solve for x
    x = 97,527,434,906.94/333,102.84
  6. Step 6: Final answer
    x = 292,784.76

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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.