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Finding the Fourth Proportional to 453,923.84, 680,534.88 and 229,168.58

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Solution

The fourth proportional to 453,923.84, 680,534.88 and 229,168.58 is: 343,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,923.84 : 680,534.88 = 229,168.58 : x
  2. Step 2: Convert to fraction form
    453,923.84/680,534.88 = 229,168.58/x
  3. Step 3: Cross multiply
    453,923.84x = 680,534.88 × 229,168.58
  4. Step 4: Simplify right side
    453,923.84x = 155,957,212,090.07
  5. Step 5: Solve for x
    x = 155,957,212,090.07/453,923.84
  6. Step 6: Final answer
    x = 343,575.72

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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.