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Finding the Fourth Proportional to 310,798.56, 466,197.84 and 205,592.93

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Solution

The fourth proportional to 310,798.56, 466,197.84 and 205,592.93 is: 308,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,798.56 : 466,197.84 = 205,592.93 : x
  2. Step 2: Convert to fraction form
    310,798.56/466,197.84 = 205,592.93/x
  3. Step 3: Cross multiply
    310,798.56x = 466,197.84 × 205,592.93
  4. Step 4: Simplify right side
    310,798.56x = 95,846,979,885.27
  5. Step 5: Solve for x
    x = 95,846,979,885.27/310,798.56
  6. Step 6: Final answer
    x = 308,389.40

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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.