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Finding the Fourth Proportional to 459,005.80, 688,508.70 and 256,052.20

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Solution

The fourth proportional to 459,005.80, 688,508.70 and 256,052.20 is: 384,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,005.80 : 688,508.70 = 256,052.20 : x
  2. Step 2: Convert to fraction form
    459,005.80/688,508.70 = 256,052.20/x
  3. Step 3: Cross multiply
    459,005.80x = 688,508.70 × 256,052.20
  4. Step 4: Simplify right side
    459,005.80x = 176,294,167,354.14
  5. Step 5: Solve for x
    x = 176,294,167,354.14/459,005.80
  6. Step 6: Final answer
    x = 384,078.30

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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.