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Finding the Fourth Proportional to 429,284.31, 592,494.80 and 284,093.03

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Solution

The fourth proportional to 429,284.31, 592,494.80 and 284,093.03 is: 392,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,284.31 : 592,494.80 = 284,093.03 : x
  2. Step 2: Convert to fraction form
    429,284.31/592,494.80 = 284,093.03/x
  3. Step 3: Cross multiply
    429,284.31x = 592,494.80 × 284,093.03
  4. Step 4: Simplify right side
    429,284.31x = 168,323,642,991.24
  5. Step 5: Solve for x
    x = 168,323,642,991.24/429,284.31
  6. Step 6: Final answer
    x = 392,102.95

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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.