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Finding the Fourth Proportional to 337,878, 466,271.64 and 186,997.68

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Solution

The fourth proportional to 337,878, 466,271.64 and 186,997.68 is: 258,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,878 : 466,271.64 = 186,997.68 : x
  2. Step 2: Convert to fraction form
    337,878/466,271.64 = 186,997.68/x
  3. Step 3: Cross multiply
    337,878x = 466,271.64 × 186,997.68
  4. Step 4: Simplify right side
    337,878x = 87,191,714,929.80
  5. Step 5: Solve for x
    x = 87,191,714,929.80/337,878
  6. Step 6: Final answer
    x = 258,056.80

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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.