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Finding the Fourth Proportional to 459,005, 633,486.30 and 257,801

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Solution

The fourth proportional to 459,005, 633,486.30 and 257,801 is: 355,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,005 : 633,486.30 = 257,801 : x
  2. Step 2: Convert to fraction form
    459,005/633,486.30 = 257,801/x
  3. Step 3: Cross multiply
    459,005x = 633,486.30 × 257,801
  4. Step 4: Simplify right side
    459,005x = 163,313,401,626.30
  5. Step 5: Solve for x
    x = 163,313,401,626.30/459,005
  6. Step 6: Final answer
    x = 355,798.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.