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Finding the Fourth Proportional to 233,310.80, 349,091.40 and 212,315.60

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Solution

The fourth proportional to 233,310.80, 349,091.40 and 212,315.60 is: 317,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,310.80 : 349,091.40 = 212,315.60 : x
  2. Step 2: Convert to fraction form
    233,310.80/349,091.40 = 212,315.60/x
  3. Step 3: Cross multiply
    233,310.80x = 349,091.40 × 212,315.60
  4. Step 4: Simplify right side
    233,310.80x = 74,117,550,045.84
  5. Step 5: Solve for x
    x = 74,117,550,045.84/233,310.80
  6. Step 6: Final answer
    x = 317,677.32

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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.