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Finding the Fourth Proportional to 473,896.80, 709,808.40 and 286,581.60

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Solution

The fourth proportional to 473,896.80, 709,808.40 and 286,581.60 is: 429,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,896.80 : 709,808.40 = 286,581.60 : x
  2. Step 2: Convert to fraction form
    473,896.80/709,808.40 = 286,581.60/x
  3. Step 3: Cross multiply
    473,896.80x = 709,808.40 × 286,581.60
  4. Step 4: Simplify right side
    473,896.80x = 203,418,026,965.44
  5. Step 5: Solve for x
    x = 203,418,026,965.44/473,896.80
  6. Step 6: Final answer
    x = 429,245.41

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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.