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Finding the Fourth Proportional to 333,604.94, 460,378.63 and 180,646.61

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Solution

The fourth proportional to 333,604.94, 460,378.63 and 180,646.61 is: 249,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,604.94 : 460,378.63 = 180,646.61 : x
  2. Step 2: Convert to fraction form
    333,604.94/460,378.63 = 180,646.61/x
  3. Step 3: Cross multiply
    333,604.94x = 460,378.63 × 180,646.61
  4. Step 4: Simplify right side
    333,604.94x = 83,165,839,339.49
  5. Step 5: Solve for x
    x = 83,165,839,339.49/333,604.94
  6. Step 6: Final answer
    x = 249,294.39

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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.