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Finding the Fourth Proportional to 468,780.16, 646,870.32 and 262,010.40

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Solution

The fourth proportional to 468,780.16, 646,870.32 and 262,010.40 is: 361,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,780.16 : 646,870.32 = 262,010.40 : x
  2. Step 2: Convert to fraction form
    468,780.16/646,870.32 = 262,010.40/x
  3. Step 3: Cross multiply
    468,780.16x = 646,870.32 × 262,010.40
  4. Step 4: Simplify right side
    468,780.16x = 169,486,751,291.33
  5. Step 5: Solve for x
    x = 169,486,751,291.33/468,780.16
  6. Step 6: Final answer
    x = 361,548.47

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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.