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Finding the Fourth Proportional to 328,420.40, 492,047.40 and 307,425.20

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Solution

The fourth proportional to 328,420.40, 492,047.40 and 307,425.20 is: 460,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,420.40 : 492,047.40 = 307,425.20 : x
  2. Step 2: Convert to fraction form
    328,420.40/492,047.40 = 307,425.20/x
  3. Step 3: Cross multiply
    328,420.40x = 492,047.40 × 307,425.20
  4. Step 4: Simplify right side
    328,420.40x = 151,267,770,354.48
  5. Step 5: Solve for x
    x = 151,267,770,354.48/328,420.40
  6. Step 6: Final answer
    x = 460,591.88

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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.