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Finding the Fourth Proportional to 402,100.09, 554,429.33 and 299,948.22

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Solution

The fourth proportional to 402,100.09, 554,429.33 and 299,948.22 is: 413,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,100.09 : 554,429.33 = 299,948.22 : x
  2. Step 2: Convert to fraction form
    402,100.09/554,429.33 = 299,948.22/x
  3. Step 3: Cross multiply
    402,100.09x = 554,429.33 × 299,948.22
  4. Step 4: Simplify right side
    402,100.09x = 166,300,090,649.29
  5. Step 5: Solve for x
    x = 166,300,090,649.29/402,100.09
  6. Step 6: Final answer
    x = 413,578.84

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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.