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Finding the Fourth Proportional to 461,345.22, 636,656.49 and 260,141.22

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Solution

The fourth proportional to 461,345.22, 636,656.49 and 260,141.22 is: 358,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,345.22 : 636,656.49 = 260,141.22 : x
  2. Step 2: Convert to fraction form
    461,345.22/636,656.49 = 260,141.22/x
  3. Step 3: Cross multiply
    461,345.22x = 636,656.49 × 260,141.22
  4. Step 4: Simplify right side
    461,345.22x = 165,620,596,029.52
  5. Step 5: Solve for x
    x = 165,620,596,029.52/461,345.22
  6. Step 6: Final answer
    x = 358,994.93

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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.