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Finding the Fourth Proportional to 310,205.90, 464,324.70 and 310,205.90

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Solution

The fourth proportional to 310,205.90, 464,324.70 and 310,205.90 is: 464,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,205.90 : 464,324.70 = 310,205.90 : x
  2. Step 2: Convert to fraction form
    310,205.90/464,324.70 = 310,205.90/x
  3. Step 3: Cross multiply
    310,205.90x = 464,324.70 × 310,205.90
  4. Step 4: Simplify right side
    310,205.90x = 144,036,261,455.73
  5. Step 5: Solve for x
    x = 144,036,261,455.73/310,205.90
  6. Step 6: Final answer
    x = 464,324.70

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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.