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Finding the Fourth Proportional to 514,998, 710,540.76 and 324,201.84

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Solution

The fourth proportional to 514,998, 710,540.76 and 324,201.84 is: 447,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,998 : 710,540.76 = 324,201.84 : x
  2. Step 2: Convert to fraction form
    514,998/710,540.76 = 324,201.84/x
  3. Step 3: Cross multiply
    514,998x = 710,540.76 × 324,201.84
  4. Step 4: Simplify right side
    514,998x = 230,358,621,787.00
  5. Step 5: Solve for x
    x = 230,358,621,787.00/514,998
  6. Step 6: Final answer
    x = 447,300.03

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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.