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Finding the Fourth Proportional to 306,015.20, 459,022.80 and 257,026.40

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Solution

The fourth proportional to 306,015.20, 459,022.80 and 257,026.40 is: 385,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,015.20 : 459,022.80 = 257,026.40 : x
  2. Step 2: Convert to fraction form
    306,015.20/459,022.80 = 257,026.40/x
  3. Step 3: Cross multiply
    306,015.20x = 459,022.80 × 257,026.40
  4. Step 4: Simplify right side
    306,015.20x = 117,980,977,801.92
  5. Step 5: Solve for x
    x = 117,980,977,801.92/306,015.20
  6. Step 6: Final answer
    x = 385,539.60

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1.5x scale

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.