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Finding the Fourth Proportional to 500,157.03, 690,203.19 and 285,292.59

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Solution

The fourth proportional to 500,157.03, 690,203.19 and 285,292.59 is: 393,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,157.03 : 690,203.19 = 285,292.59 : x
  2. Step 2: Convert to fraction form
    500,157.03/690,203.19 = 285,292.59/x
  3. Step 3: Cross multiply
    500,157.03x = 690,203.19 × 285,292.59
  4. Step 4: Simplify right side
    500,157.03x = 196,909,855,701.36
  5. Step 5: Solve for x
    x = 196,909,855,701.36/500,157.03
  6. Step 6: Final answer
    x = 393,696.07

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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.