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Finding the Fourth Proportional to 333,963, 460,870.56 and 199,827

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Solution

The fourth proportional to 333,963, 460,870.56 and 199,827 is: 275,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,963 : 460,870.56 = 199,827 : x
  2. Step 2: Convert to fraction form
    333,963/460,870.56 = 199,827/x
  3. Step 3: Cross multiply
    333,963x = 460,870.56 × 199,827
  4. Step 4: Simplify right side
    333,963x = 92,094,381,393.12
  5. Step 5: Solve for x
    x = 92,094,381,393.12/333,963
  6. Step 6: Final answer
    x = 275,762.23

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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.