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Finding the Fourth Proportional to 652,082.70, 978,124.05 and 297,788.70

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Solution

The fourth proportional to 652,082.70, 978,124.05 and 297,788.70 is: 446,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,082.70 : 978,124.05 = 297,788.70 : x
  2. Step 2: Convert to fraction form
    652,082.70/978,124.05 = 297,788.70/x
  3. Step 3: Cross multiply
    652,082.70x = 978,124.05 × 297,788.70
  4. Step 4: Simplify right side
    652,082.70x = 291,274,289,288.24
  5. Step 5: Solve for x
    x = 291,274,289,288.24/652,082.70
  6. Step 6: Final answer
    x = 446,683.05

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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.