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Finding the Fourth Proportional to 584,169, 806,153.26 and 315,897

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Solution

The fourth proportional to 584,169, 806,153.26 and 315,897 is: 435,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,169 : 806,153.26 = 315,897 : x
  2. Step 2: Convert to fraction form
    584,169/806,153.26 = 315,897/x
  3. Step 3: Cross multiply
    584,169x = 806,153.26 × 315,897
  4. Step 4: Simplify right side
    584,169x = 254,661,396,374.22
  5. Step 5: Solve for x
    x = 254,661,396,374.22/584,169
  6. Step 6: Final answer
    x = 435,937.88

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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.