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Finding the Fourth Proportional to 543,013.81, 749,468.21 and 313,608.45

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Solution

The fourth proportional to 543,013.81, 749,468.21 and 313,608.45 is: 432,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,013.81 : 749,468.21 = 313,608.45 : x
  2. Step 2: Convert to fraction form
    543,013.81/749,468.21 = 313,608.45/x
  3. Step 3: Cross multiply
    543,013.81x = 749,468.21 × 313,608.45
  4. Step 4: Simplify right side
    543,013.81x = 235,039,563,662.38
  5. Step 5: Solve for x
    x = 235,039,563,662.38/543,013.81
  6. Step 6: Final answer
    x = 432,842.70

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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.