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Finding the Fourth Proportional to 458,649.30, 633,235.80 and 297,962.31

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Solution

The fourth proportional to 458,649.30, 633,235.80 and 297,962.31 is: 411,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,649.30 : 633,235.80 = 297,962.31 : x
  2. Step 2: Convert to fraction form
    458,649.30/633,235.80 = 297,962.31/x
  3. Step 3: Cross multiply
    458,649.30x = 633,235.80 × 297,962.31
  4. Step 4: Simplify right side
    458,649.30x = 188,680,401,742.70
  5. Step 5: Solve for x
    x = 188,680,401,742.70/458,649.30
  6. Step 6: Final answer
    x = 411,382.73

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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.