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Finding the Fourth Proportional to 456,654.84, 684,902.05 and 141,114.48

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Solution

The fourth proportional to 456,654.84, 684,902.05 and 141,114.48 is: 211,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,654.84 : 684,902.05 = 141,114.48 : x
  2. Step 2: Convert to fraction form
    456,654.84/684,902.05 = 141,114.48/x
  3. Step 3: Cross multiply
    456,654.84x = 684,902.05 × 141,114.48
  4. Step 4: Simplify right side
    456,654.84x = 96,649,596,636.68
  5. Step 5: Solve for x
    x = 96,649,596,636.68/456,654.84
  6. Step 6: Final answer
    x = 211,646.93

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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.