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Finding the Fourth Proportional to 276,352, 413,669.90 and 149,677.62

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Solution

The fourth proportional to 276,352, 413,669.90 and 149,677.62 is: 224,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,352 : 413,669.90 = 149,677.62 : x
  2. Step 2: Convert to fraction form
    276,352/413,669.90 = 149,677.62/x
  3. Step 3: Cross multiply
    276,352x = 413,669.90 × 149,677.62
  4. Step 4: Simplify right side
    276,352x = 61,917,126,097.64
  5. Step 5: Solve for x
    x = 61,917,126,097.64/276,352
  6. Step 6: Final answer
    x = 224,051.67

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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.