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Finding the Fourth Proportional to 310,702.93, 465,731.20 and 210,871.24

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Solution

The fourth proportional to 310,702.93, 465,731.20 and 210,871.24 is: 316,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,702.93 : 465,731.20 = 210,871.24 : x
  2. Step 2: Convert to fraction form
    310,702.93/465,731.20 = 210,871.24/x
  3. Step 3: Cross multiply
    310,702.93x = 465,731.20 × 210,871.24
  4. Step 4: Simplify right side
    310,702.93x = 98,209,315,650.69
  5. Step 5: Solve for x
    x = 98,209,315,650.69/310,702.93
  6. Step 6: Final answer
    x = 316,087.51

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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.