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Finding the Fourth Proportional to 362,106.88, 499,595.52 and 211,096.96

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Solution

The fourth proportional to 362,106.88, 499,595.52 and 211,096.96 is: 291,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,106.88 : 499,595.52 = 211,096.96 : x
  2. Step 2: Convert to fraction form
    362,106.88/499,595.52 = 211,096.96/x
  3. Step 3: Cross multiply
    362,106.88x = 499,595.52 × 211,096.96
  4. Step 4: Simplify right side
    362,106.88x = 105,463,095,501.62
  5. Step 5: Solve for x
    x = 105,463,095,501.62/362,106.88
  6. Step 6: Final answer
    x = 291,248.53

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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.