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Finding the Fourth Proportional to 310,566.40, 465,914.40 and 177,337.60

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Solution

The fourth proportional to 310,566.40, 465,914.40 and 177,337.60 is: 266,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,566.40 : 465,914.40 = 177,337.60 : x
  2. Step 2: Convert to fraction form
    310,566.40/465,914.40 = 177,337.60/x
  3. Step 3: Cross multiply
    310,566.40x = 465,914.40 × 177,337.60
  4. Step 4: Simplify right side
    310,566.40x = 82,624,141,501.44
  5. Step 5: Solve for x
    x = 82,624,141,501.44/310,566.40
  6. Step 6: Final answer
    x = 266,043.40

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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.