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Finding the Fourth Proportional to 432,887.48, 648,981.54 and 180,358.16

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Solution

The fourth proportional to 432,887.48, 648,981.54 and 180,358.16 is: 270,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,887.48 : 648,981.54 = 180,358.16 : x
  2. Step 2: Convert to fraction form
    432,887.48/648,981.54 = 180,358.16/x
  3. Step 3: Cross multiply
    432,887.48x = 648,981.54 × 180,358.16
  4. Step 4: Simplify right side
    432,887.48x = 117,049,116,428.37
  5. Step 5: Solve for x
    x = 117,049,116,428.37/432,887.48
  6. Step 6: Final answer
    x = 270,391.55

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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.