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Finding the Fourth Proportional to 364,029.80, 544,878.30 and 284,714.60

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Solution

The fourth proportional to 364,029.80, 544,878.30 and 284,714.60 is: 426,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,029.80 : 544,878.30 = 284,714.60 : x
  2. Step 2: Convert to fraction form
    364,029.80/544,878.30 = 284,714.60/x
  3. Step 3: Cross multiply
    364,029.80x = 544,878.30 × 284,714.60
  4. Step 4: Simplify right side
    364,029.80x = 155,134,807,233.18
  5. Step 5: Solve for x
    x = 155,134,807,233.18/364,029.80
  6. Step 6: Final answer
    x = 426,159.64

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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.