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Finding the Fourth Proportional to 499,232.20, 748,848.30 and 420,208.60

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Solution

The fourth proportional to 499,232.20, 748,848.30 and 420,208.60 is: 630,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,232.20 : 748,848.30 = 420,208.60 : x
  2. Step 2: Convert to fraction form
    499,232.20/748,848.30 = 420,208.60/x
  3. Step 3: Cross multiply
    499,232.20x = 748,848.30 × 420,208.60
  4. Step 4: Simplify right side
    499,232.20x = 314,672,495,755.38
  5. Step 5: Solve for x
    x = 314,672,495,755.38/499,232.20
  6. Step 6: Final answer
    x = 630,312.90

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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.