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Finding the Fourth Proportional to 229,816.80, 344,984.40 and 177,458.40

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Solution

The fourth proportional to 229,816.80, 344,984.40 and 177,458.40 is: 266,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,816.80 : 344,984.40 = 177,458.40 : x
  2. Step 2: Convert to fraction form
    229,816.80/344,984.40 = 177,458.40/x
  3. Step 3: Cross multiply
    229,816.80x = 344,984.40 × 177,458.40
  4. Step 4: Simplify right side
    229,816.80x = 61,220,379,648.96
  5. Step 5: Solve for x
    x = 61,220,379,648.96/229,816.80
  6. Step 6: Final answer
    x = 266,387.75

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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.