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Finding the Fourth Proportional to 364,023, 546,142.23 and 186,654.47

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Solution

The fourth proportional to 364,023, 546,142.23 and 186,654.47 is: 280,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,023 : 546,142.23 = 186,654.47 : x
  2. Step 2: Convert to fraction form
    364,023/546,142.23 = 186,654.47/x
  3. Step 3: Cross multiply
    364,023x = 546,142.23 × 186,654.47
  4. Step 4: Simplify right side
    364,023x = 101,939,885,754.56
  5. Step 5: Solve for x
    x = 101,939,885,754.56/364,023
  6. Step 6: Final answer
    x = 280,036.94

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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.