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Finding the Fourth Proportional to 415,186.08, 572,958.54 and 233,900.21

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Solution

The fourth proportional to 415,186.08, 572,958.54 and 233,900.21 is: 322,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,186.08 : 572,958.54 = 233,900.21 : x
  2. Step 2: Convert to fraction form
    415,186.08/572,958.54 = 233,900.21/x
  3. Step 3: Cross multiply
    415,186.08x = 572,958.54 × 233,900.21
  4. Step 4: Simplify right side
    415,186.08x = 134,015,119,962.50
  5. Step 5: Solve for x
    x = 134,015,119,962.50/415,186.08
  6. Step 6: Final answer
    x = 322,783.27

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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.