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Finding the Fourth Proportional to 472,969.50, 652,711.68 and 258,123.30

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Solution

The fourth proportional to 472,969.50, 652,711.68 and 258,123.30 is: 356,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,969.50 : 652,711.68 = 258,123.30 : x
  2. Step 2: Convert to fraction form
    472,969.50/652,711.68 = 258,123.30/x
  3. Step 3: Cross multiply
    472,969.50x = 652,711.68 × 258,123.30
  4. Step 4: Simplify right side
    472,969.50x = 168,480,092,790.14
  5. Step 5: Solve for x
    x = 168,480,092,790.14/472,969.50
  6. Step 6: Final answer
    x = 356,217.67

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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.