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Finding the Fourth Proportional to 500,156.03, 690,201.81 and 285,291.59

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Solution

The fourth proportional to 500,156.03, 690,201.81 and 285,291.59 is: 393,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,156.03 : 690,201.81 = 285,291.59 : x
  2. Step 2: Convert to fraction form
    500,156.03/690,201.81 = 285,291.59/x
  3. Step 3: Cross multiply
    500,156.03x = 690,201.81 × 285,291.59
  4. Step 4: Simplify right side
    500,156.03x = 196,908,768,344.77
  5. Step 5: Solve for x
    x = 196,908,768,344.77/500,156.03
  6. Step 6: Final answer
    x = 393,694.68

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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.