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Finding the Fourth Proportional to 380,897.70, 525,644.10 and 208,812.12

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Solution

The fourth proportional to 380,897.70, 525,644.10 and 208,812.12 is: 288,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,897.70 : 525,644.10 = 208,812.12 : x
  2. Step 2: Convert to fraction form
    380,897.70/525,644.10 = 208,812.12/x
  3. Step 3: Cross multiply
    380,897.70x = 525,644.10 × 208,812.12
  4. Step 4: Simplify right side
    380,897.70x = 109,760,858,886.49
  5. Step 5: Solve for x
    x = 109,760,858,886.49/380,897.70
  6. Step 6: Final answer
    x = 288,163.62

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1.5x scale

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.