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Finding the Fourth Proportional to 306,035.20, 459,052.80 and 257,046.40

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Solution

The fourth proportional to 306,035.20, 459,052.80 and 257,046.40 is: 385,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,035.20 : 459,052.80 = 257,046.40 : x
  2. Step 2: Convert to fraction form
    306,035.20/459,052.80 = 257,046.40/x
  3. Step 3: Cross multiply
    306,035.20x = 459,052.80 × 257,046.40
  4. Step 4: Simplify right side
    306,035.20x = 117,997,869,649.92
  5. Step 5: Solve for x
    x = 117,997,869,649.92/306,035.20
  6. Step 6: Final answer
    x = 385,569.60

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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.