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Finding the Fourth Proportional to 380,035.67, 570,053.51 and 308,872.40

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Solution

The fourth proportional to 380,035.67, 570,053.51 and 308,872.40 is: 463,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,035.67 : 570,053.51 = 308,872.40 : x
  2. Step 2: Convert to fraction form
    380,035.67/570,053.51 = 308,872.40/x
  3. Step 3: Cross multiply
    380,035.67x = 570,053.51 × 308,872.40
  4. Step 4: Simplify right side
    380,035.67x = 176,073,796,968.31
  5. Step 5: Solve for x
    x = 176,073,796,968.31/380,035.67
  6. Step 6: Final answer
    x = 463,308.60

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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.