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Finding the Fourth Proportional to 461,295, 636,587.10 and 249,327

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Solution

The fourth proportional to 461,295, 636,587.10 and 249,327 is: 344,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,295 : 636,587.10 = 249,327 : x
  2. Step 2: Convert to fraction form
    461,295/636,587.10 = 249,327/x
  3. Step 3: Cross multiply
    461,295x = 636,587.10 × 249,327
  4. Step 4: Simplify right side
    461,295x = 158,718,351,881.70
  5. Step 5: Solve for x
    x = 158,718,351,881.70/461,295
  6. Step 6: Final answer
    x = 344,071.26

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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.