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Finding the Fourth Proportional to 527,210.99, 727,577.64 and 309,429.09

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Solution

The fourth proportional to 527,210.99, 727,577.64 and 309,429.09 is: 427,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,210.99 : 727,577.64 = 309,429.09 : x
  2. Step 2: Convert to fraction form
    527,210.99/727,577.64 = 309,429.09/x
  3. Step 3: Cross multiply
    527,210.99x = 727,577.64 × 309,429.09
  4. Step 4: Simplify right side
    527,210.99x = 225,133,687,049.55
  5. Step 5: Solve for x
    x = 225,133,687,049.55/527,210.99
  6. Step 6: Final answer
    x = 427,027.69

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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.