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Finding the Fourth Proportional to 338,050.47, 506,997 and 158,259.94

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Solution

The fourth proportional to 338,050.47, 506,997 and 158,259.94 is: 237,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,050.47 : 506,997 = 158,259.94 : x
  2. Step 2: Convert to fraction form
    338,050.47/506,997 = 158,259.94/x
  3. Step 3: Cross multiply
    338,050.47x = 506,997 × 158,259.94
  4. Step 4: Simplify right side
    338,050.47x = 80,237,313,532.69
  5. Step 5: Solve for x
    x = 80,237,313,532.69/338,050.47
  6. Step 6: Final answer
    x = 237,353.06

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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.