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Finding the Fourth Proportional to 523,277, 785,032.50 and 190,853

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Solution

The fourth proportional to 523,277, 785,032.50 and 190,853 is: 286,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,277 : 785,032.50 = 190,853 : x
  2. Step 2: Convert to fraction form
    523,277/785,032.50 = 190,853/x
  3. Step 3: Cross multiply
    523,277x = 785,032.50 × 190,853
  4. Step 4: Simplify right side
    523,277x = 149,825,807,722.50
  5. Step 5: Solve for x
    x = 149,825,807,722.50/523,277
  6. Step 6: Final answer
    x = 286,322.17

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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.