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Finding the Fourth Proportional to 293,457.88, 405,068.34 and 172,594

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Solution

The fourth proportional to 293,457.88, 405,068.34 and 172,594 is: 238,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,457.88 : 405,068.34 = 172,594 : x
  2. Step 2: Convert to fraction form
    293,457.88/405,068.34 = 172,594/x
  3. Step 3: Cross multiply
    293,457.88x = 405,068.34 × 172,594
  4. Step 4: Simplify right side
    293,457.88x = 69,912,365,073.96
  5. Step 5: Solve for x
    x = 69,912,365,073.96/293,457.88
  6. Step 6: Final answer
    x = 238,236.46

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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.