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Finding the Fourth Proportional to 375,415.59, 563,206.43 and 206,849.15

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Solution

The fourth proportional to 375,415.59, 563,206.43 and 206,849.15 is: 310,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,415.59 : 563,206.43 = 206,849.15 : x
  2. Step 2: Convert to fraction form
    375,415.59/563,206.43 = 206,849.15/x
  3. Step 3: Cross multiply
    375,415.59x = 563,206.43 × 206,849.15
  4. Step 4: Simplify right side
    375,415.59x = 116,498,767,469.76
  5. Step 5: Solve for x
    x = 116,498,767,469.76/375,415.59
  6. Step 6: Final answer
    x = 310,319.47

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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.