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Finding the Fourth Proportional to 527,409.41, 727,809.99 and 309,614.58

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Solution

The fourth proportional to 527,409.41, 727,809.99 and 309,614.58 is: 427,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,409.41 : 727,809.99 = 309,614.58 : x
  2. Step 2: Convert to fraction form
    527,409.41/727,809.99 = 309,614.58/x
  3. Step 3: Cross multiply
    527,409.41x = 727,809.99 × 309,614.58
  4. Step 4: Simplify right side
    527,409.41x = 225,340,584,373.65
  5. Step 5: Solve for x
    x = 225,340,584,373.65/527,409.41
  6. Step 6: Final answer
    x = 427,259.32

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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.