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Finding the Fourth Proportional to 434,532.40, 651,798.60 and 285,233.20

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Solution

The fourth proportional to 434,532.40, 651,798.60 and 285,233.20 is: 427,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,532.40 : 651,798.60 = 285,233.20 : x
  2. Step 2: Convert to fraction form
    434,532.40/651,798.60 = 285,233.20/x
  3. Step 3: Cross multiply
    434,532.40x = 651,798.60 × 285,233.20
  4. Step 4: Simplify right side
    434,532.40x = 185,914,600,433.52
  5. Step 5: Solve for x
    x = 185,914,600,433.52/434,532.40
  6. Step 6: Final answer
    x = 427,849.80

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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.