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Finding the Fourth Proportional to 506,902.05, 699,514.38 and 277,453.76

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Solution

The fourth proportional to 506,902.05, 699,514.38 and 277,453.76 is: 382,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,902.05 : 699,514.38 = 277,453.76 : x
  2. Step 2: Convert to fraction form
    506,902.05/699,514.38 = 277,453.76/x
  3. Step 3: Cross multiply
    506,902.05x = 699,514.38 × 277,453.76
  4. Step 4: Simplify right side
    506,902.05x = 194,082,891,407.50
  5. Step 5: Solve for x
    x = 194,082,891,407.50/506,902.05
  6. Step 6: Final answer
    x = 382,880.46

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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.