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Finding the Fourth Proportional to 289,416.40, 434,124.60 and 260,846.80

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Solution

The fourth proportional to 289,416.40, 434,124.60 and 260,846.80 is: 391,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,416.40 : 434,124.60 = 260,846.80 : x
  2. Step 2: Convert to fraction form
    289,416.40/434,124.60 = 260,846.80/x
  3. Step 3: Cross multiply
    289,416.40x = 434,124.60 × 260,846.80
  4. Step 4: Simplify right side
    289,416.40x = 113,240,012,711.28
  5. Step 5: Solve for x
    x = 113,240,012,711.28/289,416.40
  6. Step 6: Final answer
    x = 391,270.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.