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Finding the Fourth Proportional to 282,401.82, 423,602.90 and 177,294.60

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Solution

The fourth proportional to 282,401.82, 423,602.90 and 177,294.60 is: 265,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,401.82 : 423,602.90 = 177,294.60 : x
  2. Step 2: Convert to fraction form
    282,401.82/423,602.90 = 177,294.60/x
  3. Step 3: Cross multiply
    282,401.82x = 423,602.90 × 177,294.60
  4. Step 4: Simplify right side
    282,401.82x = 75,102,505,827.87
  5. Step 5: Solve for x
    x = 75,102,505,827.87/282,401.82
  6. Step 6: Final answer
    x = 265,942.00

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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.