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Finding the Fourth Proportional to 308,051.70, 461,968.20 and 213,281.70

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Solution

The fourth proportional to 308,051.70, 461,968.20 and 213,281.70 is: 319,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,051.70 : 461,968.20 = 213,281.70 : x
  2. Step 2: Convert to fraction form
    308,051.70/461,968.20 = 213,281.70/x
  3. Step 3: Cross multiply
    308,051.70x = 461,968.20 × 213,281.70
  4. Step 4: Simplify right side
    308,051.70x = 98,529,363,041.94
  5. Step 5: Solve for x
    x = 98,529,363,041.94/308,051.70
  6. Step 6: Final answer
    x = 319,846.84

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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.