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Finding the Fourth Proportional to 333,686.64, 460,487.39 and 180,724.83

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Solution

The fourth proportional to 333,686.64, 460,487.39 and 180,724.83 is: 249,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,686.64 : 460,487.39 = 180,724.83 : x
  2. Step 2: Convert to fraction form
    333,686.64/460,487.39 = 180,724.83/x
  3. Step 3: Cross multiply
    333,686.64x = 460,487.39 × 180,724.83
  4. Step 4: Simplify right side
    333,686.64x = 83,221,504,371.27
  5. Step 5: Solve for x
    x = 83,221,504,371.27/333,686.64
  6. Step 6: Final answer
    x = 249,400.17

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Why These Related Problems?

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