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Finding the Fourth Proportional to 333,731.16, 460,546.62 and 180,765.90

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Solution

The fourth proportional to 333,731.16, 460,546.62 and 180,765.90 is: 249,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,731.16 : 460,546.62 = 180,765.90 : x
  2. Step 2: Convert to fraction form
    333,731.16/460,546.62 = 180,765.90/x
  3. Step 3: Cross multiply
    333,731.16x = 460,546.62 × 180,765.90
  4. Step 4: Simplify right side
    333,731.16x = 83,251,124,256.26
  5. Step 5: Solve for x
    x = 83,251,124,256.26/333,731.16
  6. Step 6: Final answer
    x = 249,455.65

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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.