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Finding the Fourth Proportional to 333,502.58, 460,233.06 and 180,540.02

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Solution

The fourth proportional to 333,502.58, 460,233.06 and 180,540.02 is: 249,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,502.58 : 460,233.06 = 180,540.02 : x
  2. Step 2: Convert to fraction form
    333,502.58/460,233.06 = 180,540.02/x
  3. Step 3: Cross multiply
    333,502.58x = 460,233.06 × 180,540.02
  4. Step 4: Simplify right side
    333,502.58x = 83,090,483,555.90
  5. Step 5: Solve for x
    x = 83,090,483,555.90/333,502.58
  6. Step 6: Final answer
    x = 249,144.95

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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.