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Finding the Fourth Proportional to 340,808.40, 511,212.60 and 288,320.40

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Solution

The fourth proportional to 340,808.40, 511,212.60 and 288,320.40 is: 432,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,808.40 : 511,212.60 = 288,320.40 : x
  2. Step 2: Convert to fraction form
    340,808.40/511,212.60 = 288,320.40/x
  3. Step 3: Cross multiply
    340,808.40x = 511,212.60 × 288,320.40
  4. Step 4: Simplify right side
    340,808.40x = 147,393,021,317.04
  5. Step 5: Solve for x
    x = 147,393,021,317.04/340,808.40
  6. Step 6: Final answer
    x = 432,480.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.