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Finding the Fourth Proportional to 299,303.40, 413,109.36 and 172,052.80

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Solution

The fourth proportional to 299,303.40, 413,109.36 and 172,052.80 is: 237,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,303.40 : 413,109.36 = 172,052.80 : x
  2. Step 2: Convert to fraction form
    299,303.40/413,109.36 = 172,052.80/x
  3. Step 3: Cross multiply
    299,303.40x = 413,109.36 × 172,052.80
  4. Step 4: Simplify right side
    299,303.40x = 71,076,622,094.21
  5. Step 5: Solve for x
    x = 71,076,622,094.21/299,303.40
  6. Step 6: Final answer
    x = 237,473.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.