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Finding the Fourth Proportional to 618,301, 927,583.80 and 191,827.63

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Solution

The fourth proportional to 618,301, 927,583.80 and 191,827.63 is: 287,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,301 : 927,583.80 = 191,827.63 : x
  2. Step 2: Convert to fraction form
    618,301/927,583.80 = 191,827.63/x
  3. Step 3: Cross multiply
    618,301x = 927,583.80 × 191,827.63
  4. Step 4: Simplify right side
    618,301x = 177,936,201,980.39
  5. Step 5: Solve for x
    x = 177,936,201,980.39/618,301
  6. Step 6: Final answer
    x = 287,782.49

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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.