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Finding the Fourth Proportional to 380,459.96, 525,013.82 and 208,344.52

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Solution

The fourth proportional to 380,459.96, 525,013.82 and 208,344.52 is: 287,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,459.96 : 525,013.82 = 208,344.52 : x
  2. Step 2: Convert to fraction form
    380,459.96/525,013.82 = 208,344.52/x
  3. Step 3: Cross multiply
    380,459.96x = 525,013.82 × 208,344.52
  4. Step 4: Simplify right side
    380,459.96x = 109,383,752,321.27
  5. Step 5: Solve for x
    x = 109,383,752,321.27/380,459.96
  6. Step 6: Final answer
    x = 287,503.98

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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.