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Finding the Fourth Proportional to 340,838.40, 511,257.60 and 191,539.20

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Solution

The fourth proportional to 340,838.40, 511,257.60 and 191,539.20 is: 287,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,838.40 : 511,257.60 = 191,539.20 : x
  2. Step 2: Convert to fraction form
    340,838.40/511,257.60 = 191,539.20/x
  3. Step 3: Cross multiply
    340,838.40x = 511,257.60 × 191,539.20
  4. Step 4: Simplify right side
    340,838.40x = 97,925,871,697.92
  5. Step 5: Solve for x
    x = 97,925,871,697.92/340,838.40
  6. Step 6: Final answer
    x = 287,308.80

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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.