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Finding the Fourth Proportional to 434,052.60, 650,981.70 and 285,336.60

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Solution

The fourth proportional to 434,052.60, 650,981.70 and 285,336.60 is: 427,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,052.60 : 650,981.70 = 285,336.60 : x
  2. Step 2: Convert to fraction form
    434,052.60/650,981.70 = 285,336.60/x
  3. Step 3: Cross multiply
    434,052.60x = 650,981.70 × 285,336.60
  4. Step 4: Simplify right side
    434,052.60x = 185,748,904,940.22
  5. Step 5: Solve for x
    x = 185,748,904,940.22/434,052.60
  6. Step 6: Final answer
    x = 427,941.00

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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.