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Finding the Fourth Proportional to 527,903.97, 728,511.20 and 286,190.34

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Solution

The fourth proportional to 527,903.97, 728,511.20 and 286,190.34 is: 394,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,903.97 : 728,511.20 = 286,190.34 : x
  2. Step 2: Convert to fraction form
    527,903.97/728,511.20 = 286,190.34/x
  3. Step 3: Cross multiply
    527,903.97x = 728,511.20 × 286,190.34
  4. Step 4: Simplify right side
    527,903.97x = 208,492,868,021.81
  5. Step 5: Solve for x
    x = 208,492,868,021.81/527,903.97
  6. Step 6: Final answer
    x = 394,944.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.