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Finding the Fourth Proportional to 461,582.39, 636,957.78 and 257,646.47

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Solution

The fourth proportional to 461,582.39, 636,957.78 and 257,646.47 is: 355,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,582.39 : 636,957.78 = 257,646.47 : x
  2. Step 2: Convert to fraction form
    461,582.39/636,957.78 = 257,646.47/x
  3. Step 3: Cross multiply
    461,582.39x = 636,957.78 × 257,646.47
  4. Step 4: Simplify right side
    461,582.39x = 164,109,920,371.25
  5. Step 5: Solve for x
    x = 164,109,920,371.25/461,582.39
  6. Step 6: Final answer
    x = 355,537.66

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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.