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Finding the Fourth Proportional to 413,405.68, 570,500.16 and 241,440.88

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Solution

The fourth proportional to 413,405.68, 570,500.16 and 241,440.88 is: 333,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,405.68 : 570,500.16 = 241,440.88 : x
  2. Step 2: Convert to fraction form
    413,405.68/570,500.16 = 241,440.88/x
  3. Step 3: Cross multiply
    413,405.68x = 570,500.16 × 241,440.88
  4. Step 4: Simplify right side
    413,405.68x = 137,742,060,670.54
  5. Step 5: Solve for x
    x = 137,742,060,670.54/413,405.68
  6. Step 6: Final answer
    x = 333,188.60

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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.