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Finding the Fourth Proportional to 284,699.64, 427,825.44 and 151,674.96

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Solution

The fourth proportional to 284,699.64, 427,825.44 and 151,674.96 is: 227,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,699.64 : 427,825.44 = 151,674.96 : x
  2. Step 2: Convert to fraction form
    284,699.64/427,825.44 = 151,674.96/x
  3. Step 3: Cross multiply
    284,699.64x = 427,825.44 × 151,674.96
  4. Step 4: Simplify right side
    284,699.64x = 64,890,406,498.98
  5. Step 5: Solve for x
    x = 64,890,406,498.98/284,699.64
  6. Step 6: Final answer
    x = 227,925.85

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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.