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Finding the Fourth Proportional to 342,834.80, 514,835.40 and 254,188.40

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Solution

The fourth proportional to 342,834.80, 514,835.40 and 254,188.40 is: 381,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,834.80 : 514,835.40 = 254,188.40 : x
  2. Step 2: Convert to fraction form
    342,834.80/514,835.40 = 254,188.40/x
  3. Step 3: Cross multiply
    342,834.80x = 514,835.40 × 254,188.40
  4. Step 4: Simplify right side
    342,834.80x = 130,865,186,589.36
  5. Step 5: Solve for x
    x = 130,865,186,589.36/342,834.80
  6. Step 6: Final answer
    x = 381,715.00

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Why These Related Problems?

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