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Finding the Fourth Proportional to 364,071.64, 546,211.14 and 264,331.48

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Solution

The fourth proportional to 364,071.64, 546,211.14 and 264,331.48 is: 396,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,071.64 : 546,211.14 = 264,331.48 : x
  2. Step 2: Convert to fraction form
    364,071.64/546,211.14 = 264,331.48/x
  3. Step 3: Cross multiply
    364,071.64x = 546,211.14 × 264,331.48
  4. Step 4: Simplify right side
    364,071.64x = 144,380,799,028.69
  5. Step 5: Solve for x
    x = 144,380,799,028.69/364,071.64
  6. Step 6: Final answer
    x = 396,572.50

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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.