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Finding the Fourth Proportional to 269,931.40, 404,897.10 and 181,457.80

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Solution

The fourth proportional to 269,931.40, 404,897.10 and 181,457.80 is: 272,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,931.40 : 404,897.10 = 181,457.80 : x
  2. Step 2: Convert to fraction form
    269,931.40/404,897.10 = 181,457.80/x
  3. Step 3: Cross multiply
    269,931.40x = 404,897.10 × 181,457.80
  4. Step 4: Simplify right side
    269,931.40x = 73,471,736,992.38
  5. Step 5: Solve for x
    x = 73,471,736,992.38/269,931.40
  6. Step 6: Final answer
    x = 272,186.70

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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.