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Finding the Fourth Proportional to 357,549, 493,417.06 and 196,404.04

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Solution

The fourth proportional to 357,549, 493,417.06 and 196,404.04 is: 271,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,549 : 493,417.06 = 196,404.04 : x
  2. Step 2: Convert to fraction form
    357,549/493,417.06 = 196,404.04/x
  3. Step 3: Cross multiply
    357,549x = 493,417.06 × 196,404.04
  4. Step 4: Simplify right side
    357,549x = 96,909,103,988.92
  5. Step 5: Solve for x
    x = 96,909,103,988.92/357,549
  6. Step 6: Final answer
    x = 271,037.27

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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.