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Finding the Fourth Proportional to 386,783.38, 533,770.26 and 217,030.06

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Solution

The fourth proportional to 386,783.38, 533,770.26 and 217,030.06 is: 299,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,783.38 : 533,770.26 = 217,030.06 : x
  2. Step 2: Convert to fraction form
    386,783.38/533,770.26 = 217,030.06/x
  3. Step 3: Cross multiply
    386,783.38x = 533,770.26 × 217,030.06
  4. Step 4: Simplify right side
    386,783.38x = 115,844,191,554.02
  5. Step 5: Solve for x
    x = 115,844,191,554.02/386,783.38
  6. Step 6: Final answer
    x = 299,506.64

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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.