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Finding the Fourth Proportional to 306,856.40, 459,852.60 and 243,784.40

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Solution

The fourth proportional to 306,856.40, 459,852.60 and 243,784.40 is: 365,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,856.40 : 459,852.60 = 243,784.40 : x
  2. Step 2: Convert to fraction form
    306,856.40/459,852.60 = 243,784.40/x
  3. Step 3: Cross multiply
    306,856.40x = 459,852.60 × 243,784.40
  4. Step 4: Simplify right side
    306,856.40x = 112,104,890,179.44
  5. Step 5: Solve for x
    x = 112,104,890,179.44/306,856.40
  6. Step 6: Final answer
    x = 365,333.39

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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.