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Finding the Fourth Proportional to 584,287, 806,316.12 and 316,015

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Solution

The fourth proportional to 584,287, 806,316.12 and 316,015 is: 436,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,287 : 806,316.12 = 316,015 : x
  2. Step 2: Convert to fraction form
    584,287/806,316.12 = 316,015/x
  3. Step 3: Cross multiply
    584,287x = 806,316.12 × 316,015
  4. Step 4: Simplify right side
    584,287x = 254,807,988,661.80
  5. Step 5: Solve for x
    x = 254,807,988,661.80/584,287
  6. Step 6: Final answer
    x = 436,100.73

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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.