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Finding the Fourth Proportional to 466,203.96, 643,463.34 and 296,404.92

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Solution

The fourth proportional to 466,203.96, 643,463.34 and 296,404.92 is: 409,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,203.96 : 643,463.34 = 296,404.92 : x
  2. Step 2: Convert to fraction form
    466,203.96/643,463.34 = 296,404.92/x
  3. Step 3: Cross multiply
    466,203.96x = 643,463.34 × 296,404.92
  4. Step 4: Simplify right side
    466,203.96x = 190,725,699,815.63
  5. Step 5: Solve for x
    x = 190,725,699,815.63/466,203.96
  6. Step 6: Final answer
    x = 409,103.56

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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.