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Finding the Fourth Proportional to 410,354.40, 614,131.20 and 343,869.60

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Solution

The fourth proportional to 410,354.40, 614,131.20 and 343,869.60 is: 514,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,354.40 : 614,131.20 = 343,869.60 : x
  2. Step 2: Convert to fraction form
    410,354.40/614,131.20 = 343,869.60/x
  3. Step 3: Cross multiply
    410,354.40x = 614,131.20 × 343,869.60
  4. Step 4: Simplify right side
    410,354.40x = 211,181,050,091.52
  5. Step 5: Solve for x
    x = 211,181,050,091.52/410,354.40
  6. Step 6: Final answer
    x = 514,630.89

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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.