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Finding the Fourth Proportional to 309,347.70, 463,423.01 and 174,000.60

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Solution

The fourth proportional to 309,347.70, 463,423.01 and 174,000.60 is: 260,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,347.70 : 463,423.01 = 174,000.60 : x
  2. Step 2: Convert to fraction form
    309,347.70/463,423.01 = 174,000.60/x
  3. Step 3: Cross multiply
    309,347.70x = 463,423.01 × 174,000.60
  4. Step 4: Simplify right side
    309,347.70x = 80,635,880,923.80
  5. Step 5: Solve for x
    x = 80,635,880,923.80/309,347.70
  6. Step 6: Final answer
    x = 260,664.23

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1.5x scale

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.