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Finding the Fourth Proportional to 590,695.29, 815,261.24 and 342,302.41

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Solution

The fourth proportional to 590,695.29, 815,261.24 and 342,302.41 is: 472,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,695.29 : 815,261.24 = 342,302.41 : x
  2. Step 2: Convert to fraction form
    590,695.29/815,261.24 = 342,302.41/x
  3. Step 3: Cross multiply
    590,695.29x = 815,261.24 × 342,302.41
  4. Step 4: Simplify right side
    590,695.29x = 279,065,885,520.08
  5. Step 5: Solve for x
    x = 279,065,885,520.08/590,695.29
  6. Step 6: Final answer
    x = 472,436.28

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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.