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Finding the Fourth Proportional to 310,577.10, 465,865.65 and 310,577.10

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Solution

The fourth proportional to 310,577.10, 465,865.65 and 310,577.10 is: 465,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,577.10 : 465,865.65 = 310,577.10 : x
  2. Step 2: Convert to fraction form
    310,577.10/465,865.65 = 310,577.10/x
  3. Step 3: Cross multiply
    310,577.10x = 465,865.65 × 310,577.10
  4. Step 4: Simplify right side
    310,577.10x = 144,687,202,566.62
  5. Step 5: Solve for x
    x = 144,687,202,566.62/310,577.10
  6. Step 6: Final answer
    x = 465,865.65

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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.