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Finding the Fourth Proportional to 432,877.60, 649,644.45 and 283,068.10

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Solution

The fourth proportional to 432,877.60, 649,644.45 and 283,068.10 is: 424,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,877.60 : 649,644.45 = 283,068.10 : x
  2. Step 2: Convert to fraction form
    432,877.60/649,644.45 = 283,068.10/x
  3. Step 3: Cross multiply
    432,877.60x = 649,644.45 × 283,068.10
  4. Step 4: Simplify right side
    432,877.60x = 183,893,620,137.05
  5. Step 5: Solve for x
    x = 183,893,620,137.05/432,877.60
  6. Step 6: Final answer
    x = 424,816.67

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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.