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Finding the Fourth Proportional to 456,534.42, 684,800.97 and 183,103.97

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Solution

The fourth proportional to 456,534.42, 684,800.97 and 183,103.97 is: 274,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,534.42 : 684,800.97 = 183,103.97 : x
  2. Step 2: Convert to fraction form
    456,534.42/684,800.97 = 183,103.97/x
  3. Step 3: Cross multiply
    456,534.42x = 684,800.97 × 183,103.97
  4. Step 4: Simplify right side
    456,534.42x = 125,389,772,156.21
  5. Step 5: Solve for x
    x = 125,389,772,156.21/456,534.42
  6. Step 6: Final answer
    x = 274,655.68

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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.