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Finding the Fourth Proportional to 458,017.16, 631,846.04 and 305,126.42

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Solution

The fourth proportional to 458,017.16, 631,846.04 and 305,126.42 is: 420,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,017.16 : 631,846.04 = 305,126.42 : x
  2. Step 2: Convert to fraction form
    458,017.16/631,846.04 = 305,126.42/x
  3. Step 3: Cross multiply
    458,017.16x = 631,846.04 × 305,126.42
  4. Step 4: Simplify right side
    458,017.16x = 192,792,920,176.38
  5. Step 5: Solve for x
    x = 192,792,920,176.38/458,017.16
  6. Step 6: Final answer
    x = 420,929.47

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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.