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Finding the Fourth Proportional to 523,267, 785,017.52 and 190,843

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Solution

The fourth proportional to 523,267, 785,017.52 and 190,843 is: 286,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,267 : 785,017.52 = 190,843 : x
  2. Step 2: Convert to fraction form
    523,267/785,017.52 = 190,843/x
  3. Step 3: Cross multiply
    523,267x = 785,017.52 × 190,843
  4. Step 4: Simplify right side
    523,267x = 149,815,098,569.36
  5. Step 5: Solve for x
    x = 149,815,098,569.36/523,267
  6. Step 6: Final answer
    x = 286,307.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.