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Finding the Fourth Proportional to 461,495.32, 636,864.06 and 260,291.32

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Solution

The fourth proportional to 461,495.32, 636,864.06 and 260,291.32 is: 359,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,495.32 : 636,864.06 = 260,291.32 : x
  2. Step 2: Convert to fraction form
    461,495.32/636,864.06 = 260,291.32/x
  3. Step 3: Cross multiply
    461,495.32x = 636,864.06 × 260,291.32
  4. Step 4: Simplify right side
    461,495.32x = 165,770,186,837.96
  5. Step 5: Solve for x
    x = 165,770,186,837.96/461,495.32
  6. Step 6: Final answer
    x = 359,202.31

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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.