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Finding the Fourth Proportional to 289,197, 433,858.68 and 86,784.48

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Solution

The fourth proportional to 289,197, 433,858.68 and 86,784.48 is: 130,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,197 : 433,858.68 = 86,784.48 : x
  2. Step 2: Convert to fraction form
    289,197/433,858.68 = 86,784.48/x
  3. Step 3: Cross multiply
    289,197x = 433,858.68 × 86,784.48
  4. Step 4: Simplify right side
    289,197x = 37,652,199,937.29
  5. Step 5: Solve for x
    x = 37,652,199,937.29/289,197
  6. Step 6: Final answer
    x = 130,195.68

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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.