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Finding the Fourth Proportional to 432,459.90, 648,688.32 and 116,916.75

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Solution

The fourth proportional to 432,459.90, 648,688.32 and 116,916.75 is: 175,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,459.90 : 648,688.32 = 116,916.75 : x
  2. Step 2: Convert to fraction form
    432,459.90/648,688.32 = 116,916.75/x
  3. Step 3: Cross multiply
    432,459.90x = 648,688.32 × 116,916.75
  4. Step 4: Simplify right side
    432,459.90x = 75,842,530,137.36
  5. Step 5: Solve for x
    x = 75,842,530,137.36/432,459.90
  6. Step 6: Final answer
    x = 175,374.71

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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.