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Finding the Fourth Proportional to 432,422.88, 648,929.64 and 151,940.16

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Solution

The fourth proportional to 432,422.88, 648,929.64 and 151,940.16 is: 228,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,422.88 : 648,929.64 = 151,940.16 : x
  2. Step 2: Convert to fraction form
    432,422.88/648,929.64 = 151,940.16/x
  3. Step 3: Cross multiply
    432,422.88x = 648,929.64 × 151,940.16
  4. Step 4: Simplify right side
    432,422.88x = 98,598,473,330.34
  5. Step 5: Solve for x
    x = 98,598,473,330.34/432,422.88
  6. Step 6: Final answer
    x = 228,014.01

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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.