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Finding the Fourth Proportional to 429,024.34, 592,069.49 and 259,225.62

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Solution

The fourth proportional to 429,024.34, 592,069.49 and 259,225.62 is: 357,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,024.34 : 592,069.49 = 259,225.62 : x
  2. Step 2: Convert to fraction form
    429,024.34/592,069.49 = 259,225.62/x
  3. Step 3: Cross multiply
    429,024.34x = 592,069.49 × 259,225.62
  4. Step 4: Simplify right side
    429,024.34x = 153,479,580,628.33
  5. Step 5: Solve for x
    x = 153,479,580,628.33/429,024.34
  6. Step 6: Final answer
    x = 357,740.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.