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Finding the Fourth Proportional to 456,654.89, 684,902.14 and 141,114.53

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Solution

The fourth proportional to 456,654.89, 684,902.14 and 141,114.53 is: 211,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,654.89 : 684,902.14 = 141,114.53 : x
  2. Step 2: Convert to fraction form
    456,654.89/684,902.14 = 141,114.53/x
  3. Step 3: Cross multiply
    456,654.89x = 684,902.14 × 141,114.53
  4. Step 4: Simplify right side
    456,654.89x = 96,649,643,582.09
  5. Step 5: Solve for x
    x = 96,649,643,582.09/456,654.89
  6. Step 6: Final answer
    x = 211,647.01

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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.