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Finding the Fourth Proportional to 461,497.32, 636,866.82 and 260,293.32

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Solution

The fourth proportional to 461,497.32, 636,866.82 and 260,293.32 is: 359,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,497.32 : 636,866.82 = 260,293.32 : x
  2. Step 2: Convert to fraction form
    461,497.32/636,866.82 = 260,293.32/x
  3. Step 3: Cross multiply
    461,497.32x = 636,866.82 × 260,293.32
  4. Step 4: Simplify right side
    461,497.32x = 165,772,178,975.64
  5. Step 5: Solve for x
    x = 165,772,178,975.64/461,497.32
  6. Step 6: Final answer
    x = 359,205.07

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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.