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Finding the Fourth Proportional to 459,042.64, 688,563.42 and 159,523.24

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Solution

The fourth proportional to 459,042.64, 688,563.42 and 159,523.24 is: 239,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,042.64 : 688,563.42 = 159,523.24 : x
  2. Step 2: Convert to fraction form
    459,042.64/688,563.42 = 159,523.24/x
  3. Step 3: Cross multiply
    459,042.64x = 688,563.42 × 159,523.24
  4. Step 4: Simplify right side
    459,042.64x = 109,841,867,703.88
  5. Step 5: Solve for x
    x = 109,841,867,703.88/459,042.64
  6. Step 6: Final answer
    x = 239,284.67

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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.