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Finding the Fourth Proportional to 500,986.64, 691,409.40 and 286,158.80

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Solution

The fourth proportional to 500,986.64, 691,409.40 and 286,158.80 is: 394,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,986.64 : 691,409.40 = 286,158.80 : x
  2. Step 2: Convert to fraction form
    500,986.64/691,409.40 = 286,158.80/x
  3. Step 3: Cross multiply
    500,986.64x = 691,409.40 × 286,158.80
  4. Step 4: Simplify right side
    500,986.64x = 197,852,884,212.72
  5. Step 5: Solve for x
    x = 197,852,884,212.72/500,986.64
  6. Step 6: Final answer
    x = 394,926.47

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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.