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Finding the Fourth Proportional to 375,165.77, 517,680.50 and 214,011.18

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Solution

The fourth proportional to 375,165.77, 517,680.50 and 214,011.18 is: 295,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,165.77 : 517,680.50 = 214,011.18 : x
  2. Step 2: Convert to fraction form
    375,165.77/517,680.50 = 214,011.18/x
  3. Step 3: Cross multiply
    375,165.77x = 517,680.50 × 214,011.18
  4. Step 4: Simplify right side
    375,165.77x = 110,789,413,597.93
  5. Step 5: Solve for x
    x = 110,789,413,597.93/375,165.77
  6. Step 6: Final answer
    x = 295,307.90

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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.