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Finding the Fourth Proportional to 467,532.80, 700,838.40 and 230,681.60

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Solution

The fourth proportional to 467,532.80, 700,838.40 and 230,681.60 is: 345,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,532.80 : 700,838.40 = 230,681.60 : x
  2. Step 2: Convert to fraction form
    467,532.80/700,838.40 = 230,681.60/x
  3. Step 3: Cross multiply
    467,532.80x = 700,838.40 × 230,681.60
  4. Step 4: Simplify right side
    467,532.80x = 161,670,523,453.44
  5. Step 5: Solve for x
    x = 161,670,523,453.44/467,532.80
  6. Step 6: Final answer
    x = 345,795.04

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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.