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Finding the Fourth Proportional to 432,705.77, 648,707.46 and 180,175.19

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Solution

The fourth proportional to 432,705.77, 648,707.46 and 180,175.19 is: 270,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,705.77 : 648,707.46 = 180,175.19 : x
  2. Step 2: Convert to fraction form
    432,705.77/648,707.46 = 180,175.19/x
  3. Step 3: Cross multiply
    432,705.77x = 648,707.46 × 180,175.19
  4. Step 4: Simplify right side
    432,705.77x = 116,880,986,616.38
  5. Step 5: Solve for x
    x = 116,880,986,616.38/432,705.77
  6. Step 6: Final answer
    x = 270,116.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.