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Finding the Fourth Proportional to 435,564.38, 601,219.80 and 282,332.23

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Solution

The fourth proportional to 435,564.38, 601,219.80 and 282,332.23 is: 389,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,564.38 : 601,219.80 = 282,332.23 : x
  2. Step 2: Convert to fraction form
    435,564.38/601,219.80 = 282,332.23/x
  3. Step 3: Cross multiply
    435,564.38x = 601,219.80 × 282,332.23
  4. Step 4: Simplify right side
    435,564.38x = 169,743,725,351.11
  5. Step 5: Solve for x
    x = 169,743,725,351.11/435,564.38
  6. Step 6: Final answer
    x = 389,709.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.