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Finding the Fourth Proportional to 527,892.81, 728,495.81 and 286,179.19

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Solution

The fourth proportional to 527,892.81, 728,495.81 and 286,179.19 is: 394,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,892.81 : 728,495.81 = 286,179.19 : x
  2. Step 2: Convert to fraction form
    527,892.81/728,495.81 = 286,179.19/x
  3. Step 3: Cross multiply
    527,892.81x = 728,495.81 × 286,179.19
  4. Step 4: Simplify right side
    527,892.81x = 208,480,338,645.23
  5. Step 5: Solve for x
    x = 208,480,338,645.23/527,892.81
  6. Step 6: Final answer
    x = 394,929.30

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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.