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Finding the Fourth Proportional to 404,072.40, 557,510.76 and 229,640.16

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Solution

The fourth proportional to 404,072.40, 557,510.76 and 229,640.16 is: 316,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,072.40 : 557,510.76 = 229,640.16 : x
  2. Step 2: Convert to fraction form
    404,072.40/557,510.76 = 229,640.16/x
  3. Step 3: Cross multiply
    404,072.40x = 557,510.76 × 229,640.16
  4. Step 4: Simplify right side
    404,072.40x = 128,026,860,128.12
  5. Step 5: Solve for x
    x = 128,026,860,128.12/404,072.40
  6. Step 6: Final answer
    x = 316,841.39

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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.