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Finding the Fourth Proportional to 429,672.66, 592,965.10 and 293,991.18

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Solution

The fourth proportional to 429,672.66, 592,965.10 and 293,991.18 is: 405,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,672.66 : 592,965.10 = 293,991.18 : x
  2. Step 2: Convert to fraction form
    429,672.66/592,965.10 = 293,991.18/x
  3. Step 3: Cross multiply
    429,672.66x = 592,965.10 × 293,991.18
  4. Step 4: Simplify right side
    429,672.66x = 174,326,509,447.82
  5. Step 5: Solve for x
    x = 174,326,509,447.82/429,672.66
  6. Step 6: Final answer
    x = 405,719.34

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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.