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Finding the Fourth Proportional to 588,642.24, 812,302.29 and 333,987.96

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Solution

The fourth proportional to 588,642.24, 812,302.29 and 333,987.96 is: 460,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,642.24 : 812,302.29 = 333,987.96 : x
  2. Step 2: Convert to fraction form
    588,642.24/812,302.29 = 333,987.96/x
  3. Step 3: Cross multiply
    588,642.24x = 812,302.29 × 333,987.96
  4. Step 4: Simplify right side
    588,642.24x = 271,299,184,740.43
  5. Step 5: Solve for x
    x = 271,299,184,740.43/588,642.24
  6. Step 6: Final answer
    x = 460,889.77

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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.