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Finding the Fourth Proportional to 333,543.64, 460,287 and 180,577.92

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Solution

The fourth proportional to 333,543.64, 460,287 and 180,577.92 is: 249,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,543.64 : 460,287 = 180,577.92 : x
  2. Step 2: Convert to fraction form
    333,543.64/460,287 = 180,577.92/x
  3. Step 3: Cross multiply
    333,543.64x = 460,287 × 180,577.92
  4. Step 4: Simplify right side
    333,543.64x = 83,117,669,063.04
  5. Step 5: Solve for x
    x = 83,117,669,063.04/333,543.64
  6. Step 6: Final answer
    x = 249,195.78

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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.