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Finding the Fourth Proportional to 294,060, 405,809.28 and 159,924

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Solution

The fourth proportional to 294,060, 405,809.28 and 159,924 is: 220,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,060 : 405,809.28 = 159,924 : x
  2. Step 2: Convert to fraction form
    294,060/405,809.28 = 159,924/x
  3. Step 3: Cross multiply
    294,060x = 405,809.28 × 159,924
  4. Step 4: Simplify right side
    294,060x = 64,898,643,294.72
  5. Step 5: Solve for x
    x = 64,898,643,294.72/294,060
  6. Step 6: Final answer
    x = 220,698.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.