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Finding the Fourth Proportional to 333,688.30, 460,120.86 and 212,637.84

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Solution

The fourth proportional to 333,688.30, 460,120.86 and 212,637.84 is: 293,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,688.30 : 460,120.86 = 212,637.84 : x
  2. Step 2: Convert to fraction form
    333,688.30/460,120.86 = 212,637.84/x
  3. Step 3: Cross multiply
    333,688.30x = 460,120.86 × 212,637.84
  4. Step 4: Simplify right side
    333,688.30x = 97,839,105,809.34
  5. Step 5: Solve for x
    x = 97,839,105,809.34/333,688.30
  6. Step 6: Final answer
    x = 293,205.08

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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.