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Finding the Fourth Proportional to 400,437.74, 552,598.89 and 219,146.38

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Solution

The fourth proportional to 400,437.74, 552,598.89 and 219,146.38 is: 302,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,437.74 : 552,598.89 = 219,146.38 : x
  2. Step 2: Convert to fraction form
    400,437.74/552,598.89 = 219,146.38/x
  3. Step 3: Cross multiply
    400,437.74x = 552,598.89 × 219,146.38
  4. Step 4: Simplify right side
    400,437.74x = 121,100,044,132.22
  5. Step 5: Solve for x
    x = 121,100,044,132.22/400,437.74
  6. Step 6: Final answer
    x = 302,419.16

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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.