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Finding the Fourth Proportional to 527,030.49, 727,302.32 and 285,313.06

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Solution

The fourth proportional to 527,030.49, 727,302.32 and 285,313.06 is: 393,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,030.49 : 727,302.32 = 285,313.06 : x
  2. Step 2: Convert to fraction form
    527,030.49/727,302.32 = 285,313.06/x
  3. Step 3: Cross multiply
    527,030.49x = 727,302.32 × 285,313.06
  4. Step 4: Simplify right side
    527,030.49x = 207,508,850,464.30
  5. Step 5: Solve for x
    x = 207,508,850,464.30/527,030.49
  6. Step 6: Final answer
    x = 393,732.15

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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.