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Finding the Fourth Proportional to 386,541, 533,430.96 and 214,462.12

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Solution

The fourth proportional to 386,541, 533,430.96 and 214,462.12 is: 295,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,541 : 533,430.96 = 214,462.12 : x
  2. Step 2: Convert to fraction form
    386,541/533,430.96 = 214,462.12/x
  3. Step 3: Cross multiply
    386,541x = 533,430.96 × 214,462.12
  4. Step 4: Simplify right side
    386,541x = 114,400,734,555.24
  5. Step 5: Solve for x
    x = 114,400,734,555.24/386,541
  6. Step 6: Final answer
    x = 295,960.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.