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Finding the Fourth Proportional to 308,575, 462,206.22 and 182,078.92

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Solution

The fourth proportional to 308,575, 462,206.22 and 182,078.92 is: 272,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,575 : 462,206.22 = 182,078.92 : x
  2. Step 2: Convert to fraction form
    308,575/462,206.22 = 182,078.92/x
  3. Step 3: Cross multiply
    308,575x = 462,206.22 × 182,078.92
  4. Step 4: Simplify right side
    308,575x = 84,158,009,354.88
  5. Step 5: Solve for x
    x = 84,158,009,354.88/308,575
  6. Step 6: Final answer
    x = 272,731.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.