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Finding the Fourth Proportional to 304,868.60, 456,428.10 and 296,120.60

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Solution

The fourth proportional to 304,868.60, 456,428.10 and 296,120.60 is: 443,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,868.60 : 456,428.10 = 296,120.60 : x
  2. Step 2: Convert to fraction form
    304,868.60/456,428.10 = 296,120.60/x
  3. Step 3: Cross multiply
    304,868.60x = 456,428.10 × 296,120.60
  4. Step 4: Simplify right side
    304,868.60x = 135,157,762,828.86
  5. Step 5: Solve for x
    x = 135,157,762,828.86/304,868.60
  6. Step 6: Final answer
    x = 443,331.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.