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Finding the Fourth Proportional to 296,222.94, 442,056.56 and 264,730.14

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Solution

The fourth proportional to 296,222.94, 442,056.56 and 264,730.14 is: 395,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,222.94 : 442,056.56 = 264,730.14 : x
  2. Step 2: Convert to fraction form
    296,222.94/442,056.56 = 264,730.14/x
  3. Step 3: Cross multiply
    296,222.94x = 442,056.56 × 264,730.14
  4. Step 4: Simplify right side
    296,222.94x = 117,025,693,693.07
  5. Step 5: Solve for x
    x = 117,025,693,693.07/296,222.94
  6. Step 6: Final answer
    x = 395,059.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.