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Finding the Fourth Proportional to 233,308.80, 349,088.40 and 212,313.60

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Solution

The fourth proportional to 233,308.80, 349,088.40 and 212,313.60 is: 317,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,308.80 : 349,088.40 = 212,313.60 : x
  2. Step 2: Convert to fraction form
    233,308.80/349,088.40 = 212,313.60/x
  3. Step 3: Cross multiply
    233,308.80x = 349,088.40 × 212,313.60
  4. Step 4: Simplify right side
    233,308.80x = 74,116,214,922.24
  5. Step 5: Solve for x
    x = 74,116,214,922.24/233,308.80
  6. Step 6: Final answer
    x = 317,674.32

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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.