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Finding the Fourth Proportional to 498,451.89, 747,795.69 and 161,492.00

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Solution

The fourth proportional to 498,451.89, 747,795.69 and 161,492.00 is: 242,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,451.89 : 747,795.69 = 161,492.00 : x
  2. Step 2: Convert to fraction form
    498,451.89/747,795.69 = 161,492.00/x
  3. Step 3: Cross multiply
    498,451.89x = 747,795.69 × 161,492.00
  4. Step 4: Simplify right side
    498,451.89x = 120,763,017,830.50
  5. Step 5: Solve for x
    x = 120,763,017,830.50/498,451.89
  6. Step 6: Final answer
    x = 242,276.18

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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.