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Finding the Fourth Proportional to 375,893.34, 518,700.70 and 212,541.83

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Solution

The fourth proportional to 375,893.34, 518,700.70 and 212,541.83 is: 293,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,893.34 : 518,700.70 = 212,541.83 : x
  2. Step 2: Convert to fraction form
    375,893.34/518,700.70 = 212,541.83/x
  3. Step 3: Cross multiply
    375,893.34x = 518,700.70 × 212,541.83
  4. Step 4: Simplify right side
    375,893.34x = 110,245,596,000.28
  5. Step 5: Solve for x
    x = 110,245,596,000.28/375,893.34
  6. Step 6: Final answer
    x = 293,289.57

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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.