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Finding the Fourth Proportional to 461,347.36, 636,658.32 and 260,141.92

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Solution

The fourth proportional to 461,347.36, 636,658.32 and 260,141.92 is: 358,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,347.36 : 636,658.32 = 260,141.92 : x
  2. Step 2: Convert to fraction form
    461,347.36/636,658.32 = 260,141.92/x
  3. Step 3: Cross multiply
    461,347.36x = 636,658.32 × 260,141.92
  4. Step 4: Simplify right side
    461,347.36x = 165,621,517,748.77
  5. Step 5: Solve for x
    x = 165,621,517,748.77/461,347.36
  6. Step 6: Final answer
    x = 358,995.26

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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.