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Finding the Fourth Proportional to 432,964.90, 648,135.15 and 314,866.90

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Solution

The fourth proportional to 432,964.90, 648,135.15 and 314,866.90 is: 471,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,964.90 : 648,135.15 = 314,866.90 : x
  2. Step 2: Convert to fraction form
    432,964.90/648,135.15 = 314,866.90/x
  3. Step 3: Cross multiply
    432,964.90x = 648,135.15 × 314,866.90
  4. Step 4: Simplify right side
    432,964.90x = 204,076,305,461.54
  5. Step 5: Solve for x
    x = 204,076,305,461.54/432,964.90
  6. Step 6: Final answer
    x = 471,346.07

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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.