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Finding the Fourth Proportional to 506,729.99, 699,281.37 and 277,284.80

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Solution

The fourth proportional to 506,729.99, 699,281.37 and 277,284.80 is: 382,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,729.99 : 699,281.37 = 277,284.80 : x
  2. Step 2: Convert to fraction form
    506,729.99/699,281.37 = 277,284.80/x
  3. Step 3: Cross multiply
    506,729.99x = 699,281.37 × 277,284.80
  4. Step 4: Simplify right side
    506,729.99x = 193,900,096,572.38
  5. Step 5: Solve for x
    x = 193,900,096,572.38/506,729.99
  6. Step 6: Final answer
    x = 382,649.73

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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.