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Finding the Fourth Proportional to 310,294.80, 465,442.20 and 152,490.60

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Solution

The fourth proportional to 310,294.80, 465,442.20 and 152,490.60 is: 228,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,294.80 : 465,442.20 = 152,490.60 : x
  2. Step 2: Convert to fraction form
    310,294.80/465,442.20 = 152,490.60/x
  3. Step 3: Cross multiply
    310,294.80x = 465,442.20 × 152,490.60
  4. Step 4: Simplify right side
    310,294.80x = 70,975,560,343.32
  5. Step 5: Solve for x
    x = 70,975,560,343.32/310,294.80
  6. Step 6: Final answer
    x = 228,735.90

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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.