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Finding the Fourth Proportional to 461,995.78, 637,547.41 and 258,049.65

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Solution

The fourth proportional to 461,995.78, 637,547.41 and 258,049.65 is: 356,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,995.78 : 637,547.41 = 258,049.65 : x
  2. Step 2: Convert to fraction form
    461,995.78/637,547.41 = 258,049.65/x
  3. Step 3: Cross multiply
    461,995.78x = 637,547.41 × 258,049.65
  4. Step 4: Simplify right side
    461,995.78x = 164,518,883,684.54
  5. Step 5: Solve for x
    x = 164,518,883,684.54/461,995.78
  6. Step 6: Final answer
    x = 356,104.74

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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.