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Finding the Fourth Proportional to 432,076.30, 648,114.45 and 282,777.10

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Solution

The fourth proportional to 432,076.30, 648,114.45 and 282,777.10 is: 424,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,076.30 : 648,114.45 = 282,777.10 : x
  2. Step 2: Convert to fraction form
    432,076.30/648,114.45 = 282,777.10/x
  3. Step 3: Cross multiply
    432,076.30x = 648,114.45 × 282,777.10
  4. Step 4: Simplify right side
    432,076.30x = 183,271,924,639.10
  5. Step 5: Solve for x
    x = 183,271,924,639.10/432,076.30
  6. Step 6: Final answer
    x = 424,165.65

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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.