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Finding the Fourth Proportional to 527,409.60, 727,810.25 and 309,614.77

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Solution

The fourth proportional to 527,409.60, 727,810.25 and 309,614.77 is: 427,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,409.60 : 727,810.25 = 309,614.77 : x
  2. Step 2: Convert to fraction form
    527,409.60/727,810.25 = 309,614.77/x
  3. Step 3: Cross multiply
    527,409.60x = 727,810.25 × 309,614.77
  4. Step 4: Simplify right side
    527,409.60x = 225,340,802,519.08
  5. Step 5: Solve for x
    x = 225,340,802,519.08/527,409.60
  6. Step 6: Final answer
    x = 427,259.58

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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.