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Finding the Fourth Proportional to 546,225, 753,835.40 and 301,257.68

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Solution

The fourth proportional to 546,225, 753,835.40 and 301,257.68 is: 415,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,225 : 753,835.40 = 301,257.68 : x
  2. Step 2: Convert to fraction form
    546,225/753,835.40 = 301,257.68/x
  3. Step 3: Cross multiply
    546,225x = 753,835.40 × 301,257.68
  4. Step 4: Simplify right side
    546,225x = 227,098,703,705.87
  5. Step 5: Solve for x
    x = 227,098,703,705.87/546,225
  6. Step 6: Final answer
    x = 415,760.36

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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.