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Finding the Fourth Proportional to 301,167.10, 415,623.63 and 180,285

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Solution

The fourth proportional to 301,167.10, 415,623.63 and 180,285 is: 248,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,167.10 : 415,623.63 = 180,285 : x
  2. Step 2: Convert to fraction form
    301,167.10/415,623.63 = 180,285/x
  3. Step 3: Cross multiply
    301,167.10x = 415,623.63 × 180,285
  4. Step 4: Simplify right side
    301,167.10x = 74,930,706,134.55
  5. Step 5: Solve for x
    x = 74,930,706,134.55/301,167.10
  6. Step 6: Final answer
    x = 248,801.10

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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.