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Finding the Fourth Proportional to 372,821.20, 514,461.65 and 209,464.91

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Solution

The fourth proportional to 372,821.20, 514,461.65 and 209,464.91 is: 289,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,821.20 : 514,461.65 = 209,464.91 : x
  2. Step 2: Convert to fraction form
    372,821.20/514,461.65 = 209,464.91/x
  3. Step 3: Cross multiply
    372,821.20x = 514,461.65 × 209,464.91
  4. Step 4: Simplify right side
    372,821.20x = 107,761,662,168.38
  5. Step 5: Solve for x
    x = 107,761,662,168.38/372,821.20
  6. Step 6: Final answer
    x = 289,043.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.