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Finding the Fourth Proportional to 432,096.80, 648,145.20 and 405,831.20

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Solution

The fourth proportional to 432,096.80, 648,145.20 and 405,831.20 is: 608,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,096.80 : 648,145.20 = 405,831.20 : x
  2. Step 2: Convert to fraction form
    432,096.80/648,145.20 = 405,831.20/x
  3. Step 3: Cross multiply
    432,096.80x = 648,145.20 × 405,831.20
  4. Step 4: Simplify right side
    432,096.80x = 263,037,544,290.24
  5. Step 5: Solve for x
    x = 263,037,544,290.24/432,096.80
  6. Step 6: Final answer
    x = 608,746.80

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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.