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Finding the Fourth Proportional to 364,269.56, 546,404.34 and 114,971

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Solution

The fourth proportional to 364,269.56, 546,404.34 and 114,971 is: 172,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,269.56 : 546,404.34 = 114,971 : x
  2. Step 2: Convert to fraction form
    364,269.56/546,404.34 = 114,971/x
  3. Step 3: Cross multiply
    364,269.56x = 546,404.34 × 114,971
  4. Step 4: Simplify right side
    364,269.56x = 62,820,653,374.14
  5. Step 5: Solve for x
    x = 62,820,653,374.14/364,269.56
  6. Step 6: Final answer
    x = 172,456.50

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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.