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Finding the Fourth Proportional to 480,871.86, 721,373.43 and 200,323.50

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Solution

The fourth proportional to 480,871.86, 721,373.43 and 200,323.50 is: 300,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,871.86 : 721,373.43 = 200,323.50 : x
  2. Step 2: Convert to fraction form
    480,871.86/721,373.43 = 200,323.50/x
  3. Step 3: Cross multiply
    480,871.86x = 721,373.43 × 200,323.50
  4. Step 4: Simplify right side
    480,871.86x = 144,508,050,304.61
  5. Step 5: Solve for x
    x = 144,508,050,304.61/480,871.86
  6. Step 6: Final answer
    x = 300,512.59

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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.