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Finding the Fourth Proportional to 429,489.14, 592,599.57 and 259,719.62

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Solution

The fourth proportional to 429,489.14, 592,599.57 and 259,719.62 is: 358,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,489.14 : 592,599.57 = 259,719.62 : x
  2. Step 2: Convert to fraction form
    429,489.14/592,599.57 = 259,719.62/x
  3. Step 3: Cross multiply
    429,489.14x = 592,599.57 × 259,719.62
  4. Step 4: Simplify right side
    429,489.14x = 153,909,735,132.56
  5. Step 5: Solve for x
    x = 153,909,735,132.56/429,489.14
  6. Step 6: Final answer
    x = 358,355.36

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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.