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Finding the Fourth Proportional to 523,162, 785,087.70 and 286,670.80

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Solution

The fourth proportional to 523,162, 785,087.70 and 286,670.80 is: 430,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,162 : 785,087.70 = 286,670.80 : x
  2. Step 2: Convert to fraction form
    523,162/785,087.70 = 286,670.80/x
  3. Step 3: Cross multiply
    523,162x = 785,087.70 × 286,670.80
  4. Step 4: Simplify right side
    523,162x = 225,061,719,029.16
  5. Step 5: Solve for x
    x = 225,061,719,029.16/523,162
  6. Step 6: Final answer
    x = 430,195.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.