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Finding the Fourth Proportional to 553,505.20, 829,601.70 and 233,656.45

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Solution

The fourth proportional to 553,505.20, 829,601.70 and 233,656.45 is: 350,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,505.20 : 829,601.70 = 233,656.45 : x
  2. Step 2: Convert to fraction form
    553,505.20/829,601.70 = 233,656.45/x
  3. Step 3: Cross multiply
    553,505.20x = 829,601.70 × 233,656.45
  4. Step 4: Simplify right side
    553,505.20x = 193,841,788,135.97
  5. Step 5: Solve for x
    x = 193,841,788,135.97/553,505.20
  6. Step 6: Final answer
    x = 350,207.71

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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.