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Finding the Fourth Proportional to 595,082.44, 820,976.34 and 380,166.76

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Solution

The fourth proportional to 595,082.44, 820,976.34 and 380,166.76 is: 524,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,082.44 : 820,976.34 = 380,166.76 : x
  2. Step 2: Convert to fraction form
    595,082.44/820,976.34 = 380,166.76/x
  3. Step 3: Cross multiply
    595,082.44x = 820,976.34 × 380,166.76
  4. Step 4: Simplify right side
    595,082.44x = 312,107,915,214.46
  5. Step 5: Solve for x
    x = 312,107,915,214.46/595,082.44
  6. Step 6: Final answer
    x = 524,478.45

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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.