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Finding the Fourth Proportional to 386,052.48, 532,774.32 and 216,341.28

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Solution

The fourth proportional to 386,052.48, 532,774.32 and 216,341.28 is: 298,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,052.48 : 532,774.32 = 216,341.28 : x
  2. Step 2: Convert to fraction form
    386,052.48/532,774.32 = 216,341.28/x
  3. Step 3: Cross multiply
    386,052.48x = 532,774.32 × 216,341.28
  4. Step 4: Simplify right side
    386,052.48x = 115,261,078,339.93
  5. Step 5: Solve for x
    x = 115,261,078,339.93/386,052.48
  6. Step 6: Final answer
    x = 298,563.24

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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.