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Finding the Fourth Proportional to 461,644.25, 637,357.10 and 298,386.23

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Solution

The fourth proportional to 461,644.25, 637,357.10 and 298,386.23 is: 411,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,644.25 : 637,357.10 = 298,386.23 : x
  2. Step 2: Convert to fraction form
    461,644.25/637,357.10 = 298,386.23/x
  3. Step 3: Cross multiply
    461,644.25x = 637,357.10 × 298,386.23
  4. Step 4: Simplify right side
    461,644.25x = 190,178,577,554.02
  5. Step 5: Solve for x
    x = 190,178,577,554.02/461,644.25
  6. Step 6: Final answer
    x = 411,959.16

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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.