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Finding the Fourth Proportional to 500,457.93, 690,681.60 and 285,630.54

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Solution

The fourth proportional to 500,457.93, 690,681.60 and 285,630.54 is: 394,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,457.93 : 690,681.60 = 285,630.54 : x
  2. Step 2: Convert to fraction form
    500,457.93/690,681.60 = 285,630.54/x
  3. Step 3: Cross multiply
    500,457.93x = 690,681.60 × 285,630.54
  4. Step 4: Simplify right side
    500,457.93x = 197,279,758,376.06
  5. Step 5: Solve for x
    x = 197,279,758,376.06/500,457.93
  6. Step 6: Final answer
    x = 394,198.49

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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.