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Finding the Fourth Proportional to 468,788.16, 646,881.36 and 262,018.38

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Solution

The fourth proportional to 468,788.16, 646,881.36 and 262,018.38 is: 361,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,788.16 : 646,881.36 = 262,018.38 : x
  2. Step 2: Convert to fraction form
    468,788.16/646,881.36 = 262,018.38/x
  3. Step 3: Cross multiply
    468,788.16x = 646,881.36 × 262,018.38
  4. Step 4: Simplify right side
    468,788.16x = 169,494,805,999.40
  5. Step 5: Solve for x
    x = 169,494,805,999.40/468,788.16
  6. Step 6: Final answer
    x = 361,559.49

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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.