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Finding the Fourth Proportional to 333,633.65, 460,414.68 and 180,672

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Solution

The fourth proportional to 333,633.65, 460,414.68 and 180,672 is: 249,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,633.65 : 460,414.68 = 180,672 : x
  2. Step 2: Convert to fraction form
    333,633.65/460,414.68 = 180,672/x
  3. Step 3: Cross multiply
    333,633.65x = 460,414.68 × 180,672
  4. Step 4: Simplify right side
    333,633.65x = 83,184,041,064.96
  5. Step 5: Solve for x
    x = 83,184,041,064.96/333,633.65
  6. Step 6: Final answer
    x = 249,327.49

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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.