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Finding the Fourth Proportional to 464,461.50, 696,809.34 and 132,037.50

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Solution

The fourth proportional to 464,461.50, 696,809.34 and 132,037.50 is: 198,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,461.50 : 696,809.34 = 132,037.50 : x
  2. Step 2: Convert to fraction form
    464,461.50/696,809.34 = 132,037.50/x
  3. Step 3: Cross multiply
    464,461.50x = 696,809.34 × 132,037.50
  4. Step 4: Simplify right side
    464,461.50x = 92,004,963,230.25
  5. Step 5: Solve for x
    x = 92,004,963,230.25/464,461.50
  6. Step 6: Final answer
    x = 198,089.54

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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.